Question

What is the slope intercept form of a line that goes through the points (-3,-2) and (3,5)

Answer 1

Answer:

The answer is: y = 7/6x + 3/2

Step-by-step explanation:

Given the points: (-3, -2) and (3, 5), use the equation for slope:

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

m = (-2 - 5)/(-3 - 3)

m = -7 / -6 = 7/6

Then use the point slope form of a line, substituting in the slope and using point (-3, -2):

y - y1 = m(x - x1)

y - (-2) = m(x - (-3))

y + 2 = 7/6x + 21/6

y = 7/6x + 21/6 - 2

y = 7/6x + 21/6 - 12/6

y = 7/6x + 9/6

y = 7/6x + 3/2

Proof using the point (3, 5)

f(3) = 7/6(3) + 3/2

= 21/6 + 3/2

= 21/6 + 9/6

= 30/6 = 5, giving the point (3, 5)

Hope this helps! Have an Awesome day!! :-)