Question

A line passes through the point (-9, -7) and has a slope of -2/3

Write an equation in slope-intercept form for this line.

Answer 1

Answer: y = -
`(2)/(3)`x - 13

Explanation:

We can first create a point-slope form equation and then solve for y to create a slope-intercept form equation.

Given:

y - y1 = m(x - x1)

Substitute known values:

y + 7 = -2/3(x + 9)

Distribute the slope:

y + 7 = -
`(2)/(3)`x - 6

Subtract 7 from both sides of the equation:

y = -
`(2)/(3)`x - 13