Answer:
[tex](y + 6) = -\frac{3}{4}(x - 2)[/tex]
Step-by-step explanation:
Step 1: Use point-slope form
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - (-6)) = -\frac{3}{4} (x - 2)[/tex]
[tex](y + 6) = -\frac{3}{4}(x - 2)[/tex]
Answer: [tex](y + 6) = -\frac{3}{4}(x - 2)[/tex]
If needed, solve for y to get slope-intercept form
[tex]y + 6 = -\frac{3}{4}x + \frac{3}{2} \\[/tex]
[tex]y + 6 - 6 = -\frac{3}{4}x + \frac{3}{2} -\frac{12}{2}[/tex]
[tex]y = -\frac{3}{2} x - \frac{9}{2}[/tex]
