Question

What is the equation, in point-slope form, for a line that goes through ​ (2, −6) ​ and has a slope of ​ −34 ? plz help

Answer 1

Answer:

y = -34x + 62

Step-by-step explanation:

Use the point slope form:  (y - y1) = m(x - x1)

(y - (-6) = -34(x - 2)

y + 6 - 6 = -34x + 68 - 6

y = -34x + 62

Answer:  y = -34x + 62

Answer 2

Slope-intercept form: y = mx + b (m = slope and b = y-intercept).

Since we are given the slope we only need to solve for the y-intercept. (Subsituting x and y with 2, -6 and solving for b.)

y = -34x + b

-6 = -34(2) + b

-6 = -68 + b

-6 + 68 = -68 + 68 + b

62 = b

Now, that we know what the y-intercept is we can put this into the final equation.

y = -34x + 62

Best of Luck!