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Finding the y-intercept first usually works better. To find the y-intercept, let x = 0 and find the resulting y-value. This is also zero. This means that the y-intercept occurs where x = 0 and y = 0 (at the point (0,0)). Then plot more points by putting more x's in. Let x = 2 to get y = 1 (2, 1) is the point. Let x = 4 to get y = 2 (4, 2). Then connect the dots to form the straight line.
i'm a little confused, so the y intercept is 0? i understand plotting the points, thanks!
ok i think i understand. so what happens in the equation y=-2/3x+5? is the y intercept 5? and how do i graph that equation?
The y-intercept is 5. If you let x = 0, then you would just get y = 5 as your y-intercept. Graph the equation by picking more x-values, getting y-values, and connecting the dots.
ok, i'm getting the hang of it. so for 5x-15=3y when i plug in the zeros, my first point would be (3,0) and the second would be (0,-5) then i connect them with a line.
if i multiply the fraction -2/3 by 2, do i get -4/3?
for y=-2x+3, would my slope be -2 since the formula is y=mx+b?
i think i'm getting this!
so for the equation x=5y=10, is the slope -1/5?
x - 5y = 10... the slope is going to be a positive 1/5. You subtract x on both sides to get -5y = -x + 10. Dividing by -5 gives you y = 1/5x - 2.
Oh, whoops. You were right. Confused on the equals sign typo. If x + 5y = 10... then 5y = -x + 10, and y = -1/5x + 2
lol, ok great!
so going back to the equation y=-2/3x+5, i'm a little confused doing my math to get points to plot on the graph ... i keep getting fractions when i multiply and it makes it hard to plot a point.
If you pick multiples of 3 (like 3, 6, 9, etc.), it'll cancel out the 3 on the bottom. 3 * 2/3 for example, gives 2. -6 * 2 / 3 = -2. Now you have a -2/3, so you'll get different results when you multiply it by 3, 6, 9, etc.
Whoops, -6 * 2 / 3 = -4
oh ok, that's a nice shortcut. thanks