anonymous
  • anonymous
Someone please help, even if just for one of them! 1.Write the equation of the line with a slope of -5 and a y-intercept of (0,3). 2.Write the equation of the line with a slope of -1/3 and passing through the point (6, -4). 3.Write the equation of the line passing through the points (0, -4) and (-2, 2). 4.Write the equation of the line passing through the points (-6,1) and (-4,2). 5.Write the equation of the line with an undefined slope, passing through the point (2, 5).
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
how far did you get?
anonymous
  • anonymous
I don't know how to start
jim_thompson5910
  • jim_thompson5910
let's start with #1

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
1.Write the equation of the line with a slope of -5 and a y-intercept of (0,3).
jim_thompson5910
  • jim_thompson5910
The given slope is -5, so m = -5 (m is the slope) the y-intercept is (0,3) or just 3, so b = 3
jim_thompson5910
  • jim_thompson5910
y = mx + b ... start with slope intercept form y = -5x + b ... replace m with -5 (since m = -5) y = -5x + 3 ... replace b with 3 (since b = 3)
jim_thompson5910
  • jim_thompson5910
so the equation with a slope of -5 and a y-intercept of (0,3) is y = -5x+3
jim_thompson5910
  • jim_thompson5910
make sense?
anonymous
  • anonymous
Okay thank you! so do you use the same formula for all of them?
jim_thompson5910
  • jim_thompson5910
yes, but the ones that don't have a given slope, you need to find it first
jim_thompson5910
  • jim_thompson5910
and if you don't know the intercept, you need to find that as well
jim_thompson5910
  • jim_thompson5910
once you know the slope and y-intercept, you know the equation based on what is done above
anonymous
  • anonymous
okay so what if they give me a line on a graph and tell me to write the equation?
1 Attachment
jim_thompson5910
  • jim_thompson5910
identify two points on that line find the slope using those two points then use one of those points (along with the slope) to find the y-intercept
jim_thompson5910
  • jim_thompson5910
to make life easier, you can visually look for the y-intercept so you don't have to do much work
jim_thompson5910
  • jim_thompson5910
does that make sense?
anonymous
  • anonymous
kind of
jim_thompson5910
  • jim_thompson5910
what are two points on that line?
anonymous
  • anonymous
-1 and 3
jim_thompson5910
  • jim_thompson5910
write them as ordered pairs for instance, the point (3,1) is on the line (see attached image)
1 Attachment
jim_thompson5910
  • jim_thompson5910
what other point is on the line?
anonymous
  • anonymous
(-3,-3)
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
now use these 2 points to find the slope
jim_thompson5910
  • jim_thompson5910
you do so by using the slope formula \[\large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
anonymous
  • anonymous
okay!
jim_thompson5910
  • jim_thompson5910
tell me what you get
anonymous
  • anonymous
,m = -3-1/-3-3
jim_thompson5910
  • jim_thompson5910
keep going
anonymous
  • anonymous
-2
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
-3 - 1 is equal to ???
anonymous
  • anonymous
-4 /-6
jim_thompson5910
  • jim_thompson5910
reduce that
anonymous
  • anonymous
-2/-3
jim_thompson5910
  • jim_thompson5910
keep going
jim_thompson5910
  • jim_thompson5910
two negatives divide to get a _____
anonymous
  • anonymous
positive
jim_thompson5910
  • jim_thompson5910
so the slope is 2/3
jim_thompson5910
  • jim_thompson5910
so given any two points, you can find the slope of the line through those two points (using the slope formula) so you'll be using this formula for #3 and #4
jim_thompson5910
  • jim_thompson5910
we now have a slope of 2/3, so m = 2/3
jim_thompson5910
  • jim_thompson5910
how do we find the y-intercept? ie how do we find the value of b?
anonymous
  • anonymous
i dont know
jim_thompson5910
  • jim_thompson5910
remember we have the general equation y = mx+b
jim_thompson5910
  • jim_thompson5910
we know the slope is m = 2/3 we also know that the point (-3,-3) is on the line so this means that x = -3 and y = -3
jim_thompson5910
  • jim_thompson5910
plug all this in, then solve for b \[\large y = mx+b\] \[\large y = \frac{2}{3}x+b\] \[\large -3 = \frac{2}{3}(-3)+b\] \[\large -3 = \frac{2}{3}*\frac{-3}{1}+b\] \[\large -3 = \frac{2*(-3)}{3*1}+b\] \[\large -3 = \frac{-6}{3}+b\] \[\large -3 = -2+b\] \[\large b = ???\]
anonymous
  • anonymous
-5?
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
you have to add 2 to both sides to isolate b
anonymous
  • anonymous
oh crao i added them, it would be -1
jim_thompson5910
  • jim_thompson5910
good, look at the graph and notice where it crosses the y axis
anonymous
  • anonymous
oh wow thats alot easier hah
jim_thompson5910
  • jim_thompson5910
yes BUT you won't always have the graph so it helps to know how to do this without a graph
jim_thompson5910
  • jim_thompson5910
besides, the line may intersect the y-axis at some point that's not a whole number
jim_thompson5910
  • jim_thompson5910
anyways, we know the slope is 2/3 the y-intercept is -1 so this means m = 2/3 b = -1
jim_thompson5910
  • jim_thompson5910
Now plug these pieces of info in \[\large y = mx+b\] \[\large y = \frac{2}{3}x+b\] \[\large y = \frac{2}{3}x+(-1)\] \[\large y = \frac{2}{3}x-1\] So the equation of the line is \[\large y = \frac{2}{3}x-1\]
anonymous
  • anonymous
thank you !
jim_thompson5910
  • jim_thompson5910
you're welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.