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

Answer:

(y - (-6)) = -¾(x - 2)

y + 6 = -¾(x - 2)

Answer 2

Answer:

$(y + 6) = -\frac{3}{4}(x - 2)$

Step-by-step explanation:

Step 1:  Use point-slope form

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

$(y - (-6)) = -\frac{3}{4} (x - 2)$

$(y + 6) = -\frac{3}{4}(x - 2)$

Answer:  $(y + 6) = -\frac{3}{4}(x - 2)$

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

$y + 6 = -\frac{3}{4}x + \frac{3}{2}$

$y + 6 - 6 = -\frac{3}{4}x + \frac{3}{2} -\frac{12}{2}$

$y = -\frac{3}{2} x - \frac{9}{2}$