Question

Given the slope and one point on the line, sketch the graph of the line. m=3,(5,0) is on the line. Use the graphing tool to graph the line.

Answer 1

Answer: Use
`m=(rise)/(run)` method with the slope to get your next set of points to make a line

Explanation:

To graph a line with a slope of 3 and with a given point there are two ways to do so.

The first way is by simply just using the slope
`m=(rise)/(run)=(3)/(1)`. So from point (5,0) just move up 3 points and then move one point to the right, keep doing this until you have enough points to create a line. For example, by doing this your next point would be (6,3).

The second way is by finding the slope-intercept form with the given information we have. We use the point-slope formula
`y-y_(1) =m(x-x_(1))`

`y-0 =3(x-5)` Distribute the slope with (x-5)

`y-0 =3x-15`

`y-0 =3x-15\\+0=+0\\y=3x-15` Add 0 to both sides

Now we have our slope intercept form to graph we start with our y-intercept which is -15 and plot that on the line (0,-15) and using the same method from the first step we just simply move up 3 points and then move one point to the right, keep doing this until you have enough points to create a line. Your next point would be (1,-12)