Question

22. Write the equation in Slope-Intercept form of the line with an x-intercept of 2

Answer 1

Answer:

y = $\frac{1}{2}$ 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 ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts

m = $\frac{-1-0}{0=2}$ = $\frac{-1}{-2}$ = $\frac{1}{2}$

The y- intercept is - 1 ⇒ c = - 1

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