Question

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

Answer 1

Equation is 4y = -3x + 12

Explanation:

General equation of a line:

`y = mx + c`

for the slope:

`slope = (y_(2) - y_(1) )/(x _(2) - x_(1) )`

consider points: (4, 0) and (0, 3)

`slope = (3 - 0)/(0 - 4) \\ \\ slope = - (3)/(4)`

for y-intercept, c :

`y = mx + c`

consider point (0, 3):

`3 = ( - (3)/(4) * 0) + c \\ \\ c = 3 \\ c = 3`

Equation is:

`y = - (3)/(4) x + 3 \\ \\ 4y = - 3x + 12`