Question

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

Answer 1

y = - 6x + 5

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (2, - 7) ← 2 points on the line

substitute these values into the formula for m

m =
`(-7-(-1))/(2-1)` =
`(-7+1)/(1)` =
`(-6)/(1)` = - 6

the line crosses the y- axis at (0, 5 ) , so c = 5

y = - 6x + 5 ← equation of line