Answer:
Step-by-step explanation:
To start, use the point slope formula:
[tex]y - y_{1} =m(x-x_{1} )[/tex]
[tex]y_{1} = y coordinate\\
x_{1}=x coordinate \\
m= slope[/tex]
5) slope (m) = 3; (1, 1)
Plugin the numbers.
[tex]y - 1 =3(x-1 )[/tex]
Now you need to solve the formula for y to get the formule in slope-intercept form, [tex]y=mx+b[/tex]
Do the distributive property first.
[tex]y - 1 =3(x-1 )\\
y-1=3x-3[/tex]
Now add 1 to both sides
[tex]y-1=3x-3\\
y-1+1=3x-3+1\\
y=3x-2[/tex]
The equation is now in slope intercept form, which means you can graph the line.
[tex]y=mx+b\\
y=3x-2[/tex]
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.
