Question

Find an equation for the line below. ​

Answer 1

y = -4/5x + 1.8

Explanation:

1st find the slope, m, using these 2 points: (-4,5) and (6,-3)

m = (-3-5) / (6--4) = -8/10 = -4/5

Now use the point (-4, 5) in the the point-slope form to find b:

y - 5 = -4/5(x - -4)

y - 5 = -4/5(x + 4)

y - 5 = -4/5x - 16/5

y = -4/5x -16/5 + 25/5 = -4/5x + 9/5

Now write the equation in slope-intercept form:

y = -4/5x + 1.8

Answer 2

Answer: - 4/5x + 1.8

Explanation:

"-": because the slope is negative

"4/5": because its the slope

"x": because it is part of 'mx + b'

"1.8": because it's the y-intercept that fits this equation