Question

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –y minus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 8 right-parenthesis.x + 6. What is the point-slope form of the equation for this line?

Answer 1

d

Explanation:

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Answer 2

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

Explanation:

Based on how the equation is described, the slope is

`m = - (2)/(3)`

The point slope form is given by:

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

We substitute the point (-3,8) and the slope to get:

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

Hence the point-slope form is

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