Question

What is the slope-intercept equation from the line bellow

Answer 1

B.) y= 5/4x - 4

Explanation:

Slope intercept form

y = 1.25x +-4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1x2-x1

m = -4-10-4

m = -5-4

m = 1.25

Now putting value of m in equation (i)

y = 1.25x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (4,1) for calculating y-intercept:

y = mx + b

1 = 1.25(4) + b

1 = 5 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1.25x + -4