Question

What is the slope-intercept form of (-2,1) and (4,6)

Answer 1

Answer:

y = $\frac{5}{6}$ x + $\frac{8}{3}$

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, 6)

m = $\frac{6-1}{4+2}$ = $\frac{5}{6}$ , thus

y = $\frac{5}{6}$ x + c ← is the partial equation

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

Using (4, 6 ), then

6 = $\frac{20}{6}$ + c ⇒ c = 6 - $\frac{20}{6}$ = $\frac{16}{6}$ = $\frac{8}{3}$

y = $\frac{5}{6}$ x + $\frac{8}{3}$ ← equation of line