Question

Write a linear equation that goes through the points (0,4) and (4,10).

Answer 1

Answer:

D

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0 , 4) and (x₂, y₂ ) = (4, 10)

m = $\frac{10-4}{4-0}$ = $\frac{6}{4}$ = $\frac{3}{2}$

note the line passes through (0, 4) ⇒ c = 4

y = $\frac{3}{2}$ x + 4 ← equation of line → D