Question

Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form. $$(-12,2), m=-2$$

Short answer

The equation of the line in slope-intercept form is \(y = -2x -22\).

Step-by-step solution

Substitute given values into slope-intercept form

With the given point (-12, 2) and slope -2, we substitute these values into the slope-intercept form \(y = mx + b\). We get 2 = -2 * -12 + b.

Solve for b

By simplifying the equation, we find that 2 = 24 + b. Solving for \(b\) yields \(b\) = 2 - 24 = -22.

Write final equation

With \(m\) = -2 and \(b\) = -22, the final line equation in slope-intercept form is \(y = -2x -22\).