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:

Answer 2

y + 13 = 5(x + 2)

Explanation:

The point-slope form of the equation for a line with slope m and passing through a point (a, b) is given as;

`y-b=m(x-a)`

The slope of the line is 5; the coefficient of x in the given equation. The point given is (–2, –13). We plug in these values into the above equation and simplify;

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

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