Question

Please help me on this question​

Answer 1

3x + 4y = - 20

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 = -
`(3)/(4)` , thus

y = -
`(3)/(4)` x + c ← is the partial equation

To find c substitute (- 8, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = -
`(3)/(4)` 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