Question

If a line crosses the y-axis at (0, 1) and has a slope of 45, what is the equation of the line?

A) 4y − 5x = 5

B) y − 4x = 5

C) 5y + 4x = 5

D) 5y − 4x = 5

Answer 1

(4/5 in the question)

Answer 2

use the formula :
y - y1 = m (x - x1)

in the equation given (x1,y1) = (0,1) and the slope m = 4/5
plug in all value above into formula

Answer 3

Thank you. How do you solve it??

Answer 4

you just need simplify the equation or modificate it till you see the answer in options.

y - y1 = m (x - x1)
y - 1 = 4/5 (x - 0)
y - 1 = 4/5 (x)

on both sides multiply by 5, get
5(y-1) = 5 * 4/5 (x)
5y - 5 = 4x

substracted by 4x on both sides, get
5y - 5 - 4x = 4x - 4x
5y - 5 - 4x = 0

adds 5 on both sides, get
5y - 5 - 4x + 5 = 0 + 5
5y - 4x = 5

Answer 5

Thanks a bunch!!

Answer 6

you're welcome ;)