Question

Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x + 5y = 5. Write the line in slope-intercept form, if possible.

Answer 1

y = 5/4x + 1

Explanation:

4x + 5y = 5

5y = -4x + 5

y = -4/5x + 1

Perpendicular slope: 5/4

(-4, -4)

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 5/4(x + 4)

y + 4 = 5/4x + 5

y = 5/4x + 1