Question

Graph the line with slope 3 passing through the point (2,2)

Answer 1

To answer this question we will use the following slope-point formula for the equation of a line:

`y-y_1=m(x-x_1).`

Therefore, the equation of the line that has a slope of 3 and passes through (2,2) is:

`y-2=3(x-2).`

Simplifying the above result we get:

`y-2=3x-6.`

Adding 2 to the above equation we get:

`\begin{gathered} y-2+2=3x-6+2, \\ y=3x-4. \end{gathered}`

From the last equation, we get that the y-intercept of the line is (0,-4).

Since the graph of the line also passes through (2,2) we get that its graph is:

Answer: