Given: [tex]\textsf{Slope = -3, Passes through (3, -4)}[/tex]
Find: [tex]\textsf{Equation in slope-intercept form}[/tex]
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
- [tex]y - y_1 = m(x - x_1)[/tex]
- [tex]y - (-4) = -3(x - 3)[/tex]
Distribute
- [tex]y + 4 = (-3 * x) + (-3 * - 3)[/tex]
- [tex]y + 4 = -3x + 9[/tex]
Subtract 4 from both sides
- [tex]y + 4 - 4 = -3x + 9 - 4[/tex]
- [tex]y = -3x + 9 - 4[/tex]
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 [tex]y = -3x + 5[/tex].
