Question

QuestionGraph the line passing through (-1,4) whose slope is m=1/4Provide your answer below:

Answer 1

To find the equation for the line, we have to use the slope, the point, and the point-slope formula.

`\begin{gathered} y-y_1=m(x-x_1) \\ y-4=(1)/(4)(x-(-1)) \\ y-4=(1)/(4)(x+1) \\ y-4=(1)/(4)x+(1)/(4) \\ y=(1)/(4)x+(1)/(4)+4 \\ y=(1)/(4)x+(1+16)/(4) \\ y=(1)/(4)x+(17)/(4) \end{gathered}`

Once we get the equation, we graph. The image below shows the graph of the line.

In words, the lines must pass through the points (-17,0) and (0, 4.25).