Question

Write an equation of the line in slope-intercept form.

Answer 1

y = 2x+3

Explanation:

You can see that the line crosses the y-axis at (0,3), so the y-intercept is 3.

To find the slope, compare the coordinates of the two points marked on the line, (0,3) and (-3,-3).

slope = Δy/Δx = ((-3)-3)/((-3)-0) = (-6)/(-3) = 2

Slope-intercept equation for line of slope 2 and y-intercept 3:

y = 2x+3