Question

6. Write the equation of the line that
| goes through the points (5,-6) and
(-1,-3).

Answer 1

The answer is: y = -1/2x - 7/2

Explanation:

Given points: (5, -6) and (-1, -3).

Solve for the slope:

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

m = -6 -(-3)/(5 - (-1))

m = -6 + 3/(5 + 1)

m = -3/6 = -1/2

Use the point slope form with point (-1, -3) and solve for y:

y - y1 = m(x - x1)

y - (-3) = -1/2(x - (-1))

y + 3 = -1/2(x + 1)

y + 3 = -1/2x - 1/2

y = -1/2x - 1/2 - 3

y = -1/2x -1/2 - 6/2

y = -1/2x - 7/2

Proof using poing (5, -6):

f(5) = -1/2(5) - 7/2

= -5/2 - 7/2

= -12/6 = -6, giving (5, -6)

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