Question

The line above goes through points (-4,0) and (0,1). what is the equation of the line?​

Answer 1

Answer:

y = $\frac{1}{4}$ x + 1

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m = $\frac{1-0}{0+4}$ = $\frac{1}{4}$

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = $\frac{1}{4}$ x + 1 ← equation of line