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

`\large\boxed{y-8=-(2)/(3)(x+3)}`

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=-(2)/(3)x+6\Rightarrow m=-(2)/(3)`

and the point (-3, 8).

Substitute:

`y-8=-(2)/(3)(x-(-3))\\\\y-8=-(2)/(3)(x+3)`