Question

Write the slope intercept form of the equation of each line

Answer 1

Y = 2x - 4 is the answer

Answer 2

Equation is y = 5x - 6

Explanation:

`y = mx + c`

m is slope, and c is y-intercept:

`slope = (y _(2) - y _(1) )/(x _(2) - x _(1) )`

(x1, y1) = (1, -1)

(x2, y2) = (0, -4)

`m = ( - 4 - 1)/(0 - 1) \\ \\ m = 5`

for y-intercept, consider (1, -1):

`y = mx + c \\ - 1 = (5 * 1) + c \\ - 1 = 5 + c \\ c = - 6`

substitute in general equation:

`y = 5x - 6`