Question

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?

y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)

Answer 1

B

Explanation:

Its B!

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Answer 2

we know that

the point-slope form of the equation of the line is

`y-y1=m(x-x1)`

in this problem we have

`m=5` ----> given line

`(x1,y1)=(-2,-13)`

substitute in the equation of the line

`y-(-13)=5(x-(-2))`

`y+13=5(x+2)`

therefore

the answer is the option

`y+13=5(x+2)`