Question

slope intercept form of equation of a line that passes through (-3,8) y=-2/3x+6 what is the point slope equation for this line???

Answer 1

Answer:

$\large\boxed{y-8=-\dfrac{2}{3}(x+3)}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The point-slope form of an equation of a line:

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

We have the equation of a line in the slope-intercept form

$y=-\dfrac{2}{3}x+6\Rightarrow m=-\dfrac{2}{3}$

and the point (-3, 8).

Substitute:

$y-8=-\dfrac{2}{3}(x-(-3))\\\\y-8=-\dfrac{2}{3}(x+3)$