Question

(2,-1) and (4,0) in slope-intercept form

Answer 1

Answer:

y = $\frac{1}{2}$ x - 2

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 ) = (2, - 1) and (x₂, y₂ ) = (4, 0)

m = $\frac{0+1}{4-2}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 0 ), then

0 = 2 + c ⇒ c = 0 - 2 = - 2

y = $\frac{1}{2}$ x - 2 ← equation of line