Question

Write equation of a line in slope intercept form with the given information p=(1,2) m=4

Answer 1

`y=4x-2`

Explanation:

Hi there!

Slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

We're given that the slope is 4. Plug this into
`y=mx+b` as m:

`y=4x+b`

Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:

`2=4(1)+b\\2=4+b\\b=-2`

Therefore, the y-intercept is -2. Plug this back into
`y=4x+b` as b:

`y=4x+(-2)\\y=4x-2`

I hope this helps!