Answer:
3x + 4y = - 20
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{4}[/tex] , thus
y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 1) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = - [tex]\frac{3}{4}[/tex] x - 5 ← in slope- intercept form
Multiply through by 4 to clear the fraction
4y = - 3x - 20 ( add 3x to both sides )
3x + 4y = - 20 ← in standard form
