Question

Write the equation of the line that passes though (-3,5) and (2,10) in slope intercept form

Answer 1

Answer:

see explanation

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 ) = (- 3, 5) and (x₂, y₂ ) = (2, 10)

m = $\frac{10-5}{2+3}$ = $\frac{5}{7}$, hence

y = $\frac{5}{7}$ x + c ← is the partial equation of the line

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

Using (2, 10), then

10 = $\frac{10}{7}$ + c ⇒ c = 10 - $\frac{10}{7}$ = $\frac{60}{7}$

y = $\frac{5}{7}$ x + $\frac{60}{7}$ ← in slope- intercept form