Question

(3, -5)(0, 4) Write the equation of a line using the point slope formula

Answer 1

Answer:

y = - 3x + 4

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 )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (0, 4)

m = $\frac{4-(-5)}{0-3}$ = $\frac{4+5}{-3}$ = $\frac{9}{-3}$ = - 3

The line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 3x + 4 ← equation of line