Write the slope-intercept equation for the line containing the given pair of points.
(−2, 0) and (0, 3)

Question

anonymous · Answer

Slope Formula: m = (y2 - y1) / (x2 - x1)

(−2, 0) (0, 3)
x1 y1 x2 y2
So, you would plug in the numbers into the formula.

3-0 / 0+2 (the " - " sign would automatically turn into a + sign because two negatives equal a positive)
3/2

The slope of the line is 3/2.

anonymous · Answer

to find the gradient or slope = y2 - y1 / x2 - x1 = 3/2

y - 3 = 3/2 ( x - 0 )

y = 3/2x + 3

bobbyleary · Answer

The slope-intercept equation is in the form y = mx + b, with m being the slope of the line and b is the y-intercept.

First you must find the slope m. This is the change in y over the change in x.

$$m = (0-(-2)) / (3-0) = 2/3$$

Then, the you must find the y-intercept. This is where x = 0 and one of the given points happens to already have x = 0 ---> (0,3). This means that b = 3.

So the equation of the line is y = (2/3)x + 3

bobbyleary · Answer

I'm sorry!!! I flipped my fraction. You are correct with 3/2 being the slope.

anonymous · Answer

YES THANX

bobbyleary · Answer

So the answer should be y = (3/2)x + 3.