Question

It would be a pleasure to get help thank you! :)

Answer 1

Explanation:

To start, use the point slope formula:

`y - y_(1) =m(x-x_(1) )`

`y_(1) = y coordinate\\ x_(1)=x coordinate \\ m= slope`

5) slope (m) = 3; (1, 1)

Plugin the numbers.

`y - 1 =3(x-1 )`

Now you need to solve the formula for y to get the formule in slope-intercept form,
`y=mx+b`

Do the distributive property first.

`y - 1 =3(x-1 )\\ y-1=3x-3`

Now add 1 to both sides

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

The equation is now in slope intercept form, which means you can graph the line.

`y=mx+b\\ y=3x-2`

Begin with b (y-intercept). Plot -2 on the y-axis.

Stay on that point and then you will move with m (slope; rise/run), which is 3. Rewrite it as a fraction so you have rise/run. 3/1

From -2 on the y-axis, you will go up 3 and right 1 since it is a positive slope. If it were negative, you would go down 3 and right 1.

See picture of the graph.