itsjustme_lol 2 years ago Write the equation of the line passing through the points (0, -4) and (-2, 2).

1. jazy

Find slope. $m = \frac{ y2 - y1 }{ x2 - x1 }$$m = \frac{ 2 - (-4) }{ -2 - 0 } = \frac{ 2 + 4 }{ -2 - 0 } = \frac{ 6 }{ -2 } = -3$Slope is -3. You have the slope(-3) and you have a given point (0, -4). Point-Slope form. y - y1 = m(x - x1) m is slope Substitute the x- and y-values of your point, for x1 and y1. So you have:$y - (-4) = -3(x - 0)$or$y + 4 = -3(x - 0)$ Change into Slope-Intercept form. y = mx + b $y + 4 = -3(x - 0)$Distribute. $y + 4 = -3x - 0$Solve for y. Subtract 4 from both sides.$y = -3x - 4$^---There is your equation.

2. jazy

Hopefully this helped you understand the concept! (: