Question

A line goes through the point (4,-7) and has a slope of 15. Write the equation of this line in slope-intercept form.
1) y = 15x + 53
2) y = 15x - 53
3) y = 15x + 7
4) y = 15x - 7

Answer 1

Answer: y = 15x - 67

Step-by-step explanation:

         First, we will create a point-slope form equation. Then, we will simplify this equation into a slope-intercept form equation by isolating the y-variable.

Given:

    y - y1 = m(x - x1)

Substitute known coordinate point and slope:

    y + 7 = 15(x - 4)

Distribute:

    y + 7 = 15x - 60

Subtract 7 from both sides of the equation:

    y = 15x - 67

         This is not one of the given answer options, so it's possible something was copied down incorrectly.