Question

(−3,−3) , (−4,−1)Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.

Answer 1

y = -2x - 9

Explanation:

The slope-intercept form is y = mx + b

Slope = rise/run or (y2 - y1) / (x2 - x1)

The points are (−3,−3) , (−4,−1)

We see the y increase by 2 and the x decrease by 1, so the slope is

m = 2/-1 = -2

Y-intercept is located at (0, -9)

So, our equation is

y = -2x - 9