Question

Graph the line with slope 2 and y-intercept - 7.

Answer 1

To find the graph of this line we first need to find its equation. The equation of a line in its slope-intercept form is:

`y=mx+b`

In this case m=2 and b=-7. Then:

`y=2x-7`

Once we have the equation we just need to find two points on the line, to do this we give x a value (whichever value we like). Using x=0, we find that:

`y=2(0)-7=-7`

Then we have the point (0,-7).

Now we use x=1, then:

`y=2(1)-7=-5`

Then we have the point (1,-5).

Now that we have two points (0,-7) and (1,-5) we graph them in the plane:

Finally we join the points with a straight line: