Question

Find the equation (in terms of x) of the line through the points (-7,3),(-10,-3)

Answer 1

Answer:

y = 2x + 17

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

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 7, 3) and (x₂, y₂ ) = (- 10, - 3)

m = $\frac{-3-3}{-10+7}$ = $\frac{-6}{-3}$ = 2

y = 2x + c ← is the partial equation

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

using (- 7, 3 ), then

3 = - 14 + c ⇒ c = 3 + 14 = 17

y = 2x + 17 ← equation of line