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

Answer: d

Explanation:

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Answer 2

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

Explanation:

Even though the question is not well formatted we can still deduce that the slope is

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

It was also given in the question that the line passes through (-3,8).

The point-slope form is given by

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

We substitute the following values:

`x_1=-3, y_1=8, and \: m = - (2)/(3)`

into the above formula to get:

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

Hence the point-slope form is:

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