Question

Write an equation in point-slope form for the line through the given point with the given slope. (8, 3); m = 6

Answer 1

Answer:

$y-3=6(x-8)$

Step-by-step explanation:

The point - slope equation is:

$y-y_{0}=m(x-x_{0})$

Where $x_{0}$, and $y_{0}$ is the given point $(x_{0}, y_{0})$

in this case since we have the point $(8, 3)$ we found that

$x_{0}=8$

$y_{0}=3$

and since $m=6$

The point - slope equation will be like this:

⇒$y-3=6(x-8)$

That would be the equation for the line through that point ad with a slope of 6: $y-3=6(x-8)$

You can simplify the equation and clear for y:

$y=6x-6*8+3$

$y=6x-48+3$

$y=6x-45$

this would be the equation in the slope - intercept form.

Answer 2

Point-slope form is y - y_1 = m (x - x_1) where x_1 and y_1 are the given coordinates and m is the slope. When you plug the given values into the equation you get y - 3 = 6 (x - 8) .