Question

Type the correct answer in each box. The equation of the line in this graph is y = x + .

Answer 1

Answer:

y = $\frac{3}{2}$ x + 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 )

to calculate m use the gradient formula

y = (y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3)

m = $\frac{3-0}{0+2}$ = $\frac{3}{2}$

the line crosses the y-axis at (0, 3) ⇒ c = 3

y = $\frac{3}{2}$ x + 3