Question

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

Answer 1

Answer:

The point slope form is: (y - 5) = 6/11(x - 7)

Step-by-step explanation:

Giving points are: (7, 5) and (-4, -1)

Find the slope m:

m = (y - y1)/(x - x1)

m = (5 - (-1))/(7 - (-4))

m = 5 + 1/7+ 4

m = 6 / 11 = 6/11

Use the point slope form with point (7, 5) and solve for y:

(y - y1) = (x - x1)

(y - 5) = 6/11(x - 7) - this is the point slope form

y - 5 = 6/11x - 42/11  

y = 6/11x - 42/11 + 5

y = 6/11x - 42/11 + 55/11

y = 6/11x + 13/11 - This is the y intercept form

Proof, use (7, 5):

f(x) = 6/11x + 13/11

f(7) = 6/11(7) + 13/11

= 42/11 + 13/11

= 55/11 = 5, giving (7, 5)