Question

What is the slope, m, and y-intercept for the line that is plotted on the grid below? On a coordinate plane, a line goes through points (0, 4) and (negative 2, 0).

Answer 1

Slope: 2

y-intercept: 4

Explanation:

m = (0-4)/(-2-0) = -4/-2 = 2

y -4 = 2(x - 0)

y = 2x + 4

Answer 2

On a coordinate plane, a line (y = mx + b) goes through point A(0, 4), then it has point A as y-intercept (the point with x component is 0). And it goes through B(-2, 0).

Denote that line: y = mx + b

=> m*0 + b = 4 (it goes through A(0, 4))

=> b = 4

=> m*2 + 4 = 0 (it goes through B(-2, 0))

=> m = -2

=> Slope m = 2 and y-intercept (0, 4)

Hope this helps!

:)