Question

Select the correct answer.

Answer 1

I’m assuming the second set of points is (5,5)
y=3/5x + 2

Answer 2

Answer:

y = $\frac{3}{5}$ 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 ) = (- 5, - 1) and (x₂, y₂ ) = (5, 5)

m = $\frac{5+1}{5+5}$ = $\frac{6}{10}$ = $\frac{3}{5}$, thus

y = $\frac{3}{5}$ x + c ← is the partial equation

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

Using (5, 5), then

5 = 3 + c ⇒ c = 5 - 3 = 2

y = $\frac{3}{5}$ x + 2 ← equation of line