Question

Write an equation in slope-intercept form for the line that passes through the points (6,-3) and

Answer 1

Answer:

y = - $\frac{5}{6}$ 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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (0, 2)

m = $\frac{2+3}{0-6}$= $\frac{5}{-6}$ = - $\frac{5}{6}$, 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 (6, - 3), then

- 3 = - 5 + c ⇒ c = - 3 + 5 = 2

y = - $\frac{5}{6}$ x + 2 ← equation of line