Question

graph and find the equation of a line with a slope of 1/2 that passes through (6,0)

Answer 1

The equation of a line with slope m that passes thorugh the point (x1,y1) is given as:

$y-y_1=m(x-x_1)$

Plugging the values we know we have:

$\begin{gathered} y-0=\frac{1}{2}(x-6) \\ y=\frac{1}{2}x-3 \end{gathered}$

Therefore the equation of the line is:

$y=\frac{1}{2}x-3$

To find the graph we need another point. If x=0, then:

$\begin{gathered} y=\frac{1}{2}(0)-3 \\ y=-3 \end{gathered}$

Then we have the point (0,3). Plotting the points (0,3) and (6,0) and join them with a straign