Question

100 POINTS HELP ASAP!! What is the equation, in point-slop form, for a line that goes through (2, -6) and has a slope of -3/4

Answer 1

(y - (-6)) = -¾(x - 2)

y + 6 = -¾(x - 2)

Answer 2

`(y + 6) = -(3)/(4)(x - 2)`

Explanation:

Step 1: Use point-slope form

`(y - y_1) = m(x - x_1)`

`(y - (-6)) = -(3)/(4) (x - 2)`

`(y + 6) = -(3)/(4)(x - 2)`

Answer:
`(y + 6) = -(3)/(4)(x - 2)`

If needed, solve for y to get slope-intercept form

`y + 6 = -(3)/(4)x + (3)/(2) \\`

`y + 6 - 6 = -(3)/(4)x + (3)/(2) -(12)/(2)`

`y = -(3)/(2) x - (9)/(2)`