Question

Write of the equation of a line that passes through (14,25)and(34,75)

:

1- in the point slope form,

2- in the slope -intercept form, and

3- in the standard form

Show all your steps.

Answer 1

1. y-25=5/2(x-14)

2.
`y=(5)/(2)x-10`

3. 5x-2y=20

Explanation:

first, find the slope, m.

slope = rise/run = (75-25)/(34-14)= 50/20 = 5/2

1. point slope form: y-25=5/2(x-14)

2.
`y=(5)/(2)x-10`

3. switch the y to the right side: (5/2)x-y-10=0 --> (5/2)x-y=10

5x-2y=20