Write an equation in slope intercept form for the line that passes through the point (-2,4) and is parallel to the graph of y = -3x + 10.

Slope-intercept form is y = mx + b

m is the slope

b is the y-intercept

For the line y = -3x + 10

slope = -3

Parallel lines have equal slopes, therefore the slope of the new line will be -3.

y - y1 = m(x - x1) {point-slope form}

(x1 , y1) is the point and m is the slope

y - 4 = -3[x - (-2)] {substituted point and slope into point-slope form}

y - 4 = -3(x + 2) {simplified double negative signs}

y - 4 = -3x - 6 {used distributive property}

**y = -3x - 2**{added 4 to each side to get into slope-intercept form}

**- Algebra House**