Answer:
[tex]\boxed{4y - 3x = 50}[/tex]
.
Step-by-step explanation:
User the form below
[tex]\boxed{\boxed{y-y_1 = m(x - x_1)}}[/tex]
Where
- [tex]m[/tex] is a slope
- [tex](x_1,~y_1)[/tex] is point of the line
.
So, the equation is
[tex]m = \frac{3}{4}[/tex]
[tex](-6,~8)\to x_1 = -6~~and~~y_1 = 8[/tex]
.
[tex]y-y_1 = m(x - x_1)[/tex]
[tex]y - 8 = \frac{3}{4} (x - (-6))[/tex]
[tex]4(y - 8) = 3(x + 6)[/tex]
[tex]4y - 32 = 3x + 18[/tex]
[tex]4y - 3x = 18 + 32[/tex]
[tex]4y - 3x = 50[/tex]
.
Happy to help :)
