Question

Write the point slope form of an equation of the line through the points (-2,-3) and (-7,4) please answer

Answer 1

Answer:

see explanation

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (- 7, 4)

m = $\frac{4+3}{-7+2}$ = $\frac{7}{-5}$ = - $\frac{7}{5}$

We can use either of the 2 points for (a, b)

Using (a, b) = (- 7, 4), then

y - 4 = -$\frac{7}{5}$(x - (- 7)), that is

y - 4 = - $\frac{7}{5}$(x + 7) ← in point- slope form