Question

What is the equation of the line with an x-intercept of -2 and a y-intercept of 1?

y=-3x+1
y=x+1
y=2x+1

Answer 1

I get the equation

y =
`(1)/(2)` x + 1

Explanation:

The x intercept would be (-2,0)

The y intercept would be (0,1)

The slope is the change in y over the change in x.

The y's are 1 and 0

The x's are 0 -2

`(1-0)/(0- -2)` =
`(1)/(2)` Now that we have the slope, we need the y intercept and we have been given that as 1.

y = mx +b We substitute in the slope of 1/2 and the y intercept of 1

y = 1/2x + 1