Question

What is an equation of the line that passes through the points left bracket, 8, comma, minus, 6, right bracket(8,−6) and left bracket, 4, comma, minus, 1, right bracket(4,−1)?

Answer 1

The equation of the line that passes through the points (8,-6) and (4,-1) is y = -1.25x + 4.

Step-by-step explanation:

The equation of the line that passes through the points (8,-6) and (4,-1) can be found using the slope-intercept form, which is y = mx + b.

First, calculate the slope (m):

m = (y2 - y1) / (x2 - x1)

m = (-1 - (-6)) / (4 - 8) = 5 / -4 = -1.25

Next, substitute one of the given points and the slope into the equation to find the y-intercept (b):

-6 = -1.25*8 + b

-6 = -10 + b

b = 4

Therefore, the equation of the line is y = -1.25x + 4.