Answer:
Point-slope form: [tex]y-7 = - \frac{3}{4} (x+4)[/tex]
Slope-intercept form: [tex]y = -\frac{3}{4}x+4[/tex]
Step-by-step explanation:
-The point slope form:
[tex]y-y_{1} = m (x-x_{1})[/tex]
-Use the given point and slope to this equation to get the point slope form:
[tex]y-7 = - \frac{3}{4} (x+4)[/tex]
-To get to the slope intercept form, you need to solve the equation:
[tex]y-7 = - \frac{3}{4} (x+4)[/tex]
[tex]y-7 = - \frac{3}{4}x -3[/tex]
[tex]y-7 +7 = - \frac{3}{4}x - 3 +7[/tex]
[tex]y = -\frac{3}{4}x+4[/tex]
So, the results are:
Point-slope form: [tex]y-7 = - \frac{3}{4} (x+4)[/tex]
Slope-intercept form: [tex]y = -\frac{3}{4}x+4[/tex]
