Question

Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1

Answer 1

Answer:

the second option is the correct one

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = $\frac{-1-5}{-4-7}$ = $\frac{-6}{-11}$ = $\frac{6}{11}$

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) = $\frac{6}{11}$(x - (- 4)), that is

y + 1 = $\frac{6}{11}$(x + 4)