Question

Through: (1, 1), slope = 6

Write the slope-intercept form of the equation of the line through the given point with the givenslope.

Answer 1

`y=6x-5`

Explanation:

Hi there!

Slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into
`y=mx+b` as m:

`y=6x+b`

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

`1=6(1)+b\\1=6+b\\b=-5`

Therefore, the y-intercept of the line is -5. Plug this back into
`y=6x+b`:

`y=6x+(-5)\\y=6x-5`

I hope this helps!