Question

A line that includes the point (–1,4) has a slope of 1/4. What is its equation in SLOPE-INTERCEPT form?

Answer 1

`y=0.25x+4.25`

Explanation:

Step 1: Determine the two forms

Point Slope Form →
`(y-y_1)=m(x-x_1)`

Slope Intercept Form →
`y=mx+b`

Step 2: Plug into point slope form

`(y-4)=0.25(x-(-1))`

`y-4=0.25(x+1)`

Step 3: Convert to slope intercept form

`y-4+4=0.25x + 0.25+4`

`y=0.25x+4.25`

Answer:
`y=0.25x+4.25`