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Do you know the slope-intercept form of the equation of a line? \(y = mx + b\)
yes i recognize that
That is above the figure you provided. The b part is where the line crosses the y-axis. That is called the y-intercept. Look in the given graph. At what point on the y-axis does the line cross the y-axis?
Great. We no have that b = 110, and we have this much: \(y = mx + 110\) Now we need to find m, the slope.
To find the slope, you can use two points of the line. Pick two points that are easy to read on your graph. That means, pick two points that are on intersections of the grid lines. Can you read two points?
yes i can
One point can be the one that includes y = 110.
Close. It's (0, 110). Since it's on the y-axis, the x-coordinate is 0. (0, 110) is a good point. Now we need another one.
see i was going to say 0 but i thought it wouldn't count since 0 is the orgin
but it makes since since (0,110) = 110
my next one is (10,90)
also i just realized that 10,110 is not on the line anyway , lal
You get to the point we are talking about, (0, 110), by starting at the origin. You go 0 right or left. That is why the x-coordinate is 0. Then you go 110 up. That makes the y-coordinate 110. The point is (0, 110) That means start at the origin, go 0 right or left (you're still at the origin), then go up 110. You end up at the point 110 on the y-axis.
Yes, (10, 90) is a good point because it's easy to read since it falls on the grid lines. Another easy point would be (20, 70). Ok, let's use (0, 110) and (10, 90)
ok now whet?
We need to find the slope of the line that has those two points. The way to find the slope is subtract the two y-coordinates. Then subtract the two x-coordinates. Divide the first difference by the second difference.
like x^1 - x^2 y^1 - y^2
oops i was backwords
The order does not matter, as long as you do both subtractions int he same order.
-20/10 is what i got
Now we need to do the subtractions in the numerator and denominator.
am i correct? @mathstudent55
You have a fraction. A fraction means division.
i know but i thought you said subtract
You subtract the y's and you subtract the x's. Then you divide one subtraction by the other one.
Yes. The slope is -2. That goes in the m of the slope-intercept equation.
Notice that if we used the points in the other order, the slope would still be the same:
OK i would just like to say thank you very much for your time here, you have helped me far beyond me expectations, there for, i shall fan you in hope that i may be able to ask for your assistance again c;
When you use two points to find the slope, it makes no difference which point you use first and which point you use second for the y- and x-coordinate subtractions. The important thing is to do both subtractions in the same order.
I have another problem like this and i will message you if i need help on it, thank you and good day sir
You are very welcome. Thanks for paying attention. You did a great job! Feel free to ask me for help anytime. It's just that now I gtg.