Question

Find the equation of the line using the slope fomula (-3,4) and (2,5)

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 5)

m = $\frac{5-4}{2+3}$ = $\frac{1}{5}$, hence

y = $\frac{1}{5}$ x + c ← is the partial equation

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

Using (2, 5), then

5 = $\frac{2}{5}$ + c ⇒ c = 5 - $\frac{2}{5}$ = $\frac{23}{5}$

y = $\frac{1}{5}$ x + $\frac{23}{5}$ ← equation of line