Question

Graph the line with slope -3 passing through the point (3,-4)

Answer 1

Given: $\textsf{Slope = -3, Passes through (3, -4)}$

Find:  $\textsf{Equation in slope-intercept form}$

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point.  Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

Plug in the values

• $y - y_1 = m(x - x_1)$

• $y - (-4) = -3(x - 3)$

Distribute

• $y + 4 = (-3 * x) + (-3 * - 3)$

• $y + 4 = -3x + 9$

Subtract 4 from both sides

• $y + 4 - 4 = -3x + 9 - 4$

• $y = -3x + 9 - 4$

• $y = -3x + 5$

Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be $y = -3x + 5$.