Question

Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)

Answer 1

`y=(5)/(2)x-(17)/(2)`

Explanation:

Slope-Intercept Form: y = mx + b

Points: (5, 4), (1, -6)

Slope (Calculated):
`(5)/(2)`

`y = (5)/(2)x+b`

`-6 = (5)/(2)(1)+b`

`b=-(17)/(2)`

`y=(5)/(2)x-(17)/(2)`

Answer 2

y = 5/2x - 17/2

Explanation:

First, find the slope of the equation by using the slope formula:

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

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

m = 10/4

m = 5/2

Next, find the y-int by plugging in one of the two points into the equation we have so far:

y = 5/2x + b

(5, 2)

4 = 5/2(5) + b

4 = 25/2 + b

4 - 25/2 = b

b = -17/2

Now you have your final equation:

y = 5/2x - 17/2