Question

Graph each equation rewrite in slope intercept form first if necessary 5y=1x-25

Answer 1

Step-by-step explanation

To graph this line, first, we have to rewrite the equation in slope-intercept form,

`y=mx+b`

Where m is the slope and b is the y-intercept.

To do so, we have to solve the equation for y. In this case, we just have to divide both sides by 5,

`\begin{gathered} (5y)/(5)=(1x)/(5)-(25)/(5) \\ \\ y=(1)/(5)x-5 \end{gathered}`

Now, we can identify that the slope of this function is 1/5, and its y-intercept is -5.

To graph a line we only need two points. The first point is the y-intercept - which is the point where the graph intersects the y-axis, so it occurs at (0, -5).

Then, to find a second point, we can use the slope. Starting from the y-intercept, we move 1 unit up and 5 units to the right, since the equation for the slope is,

`m=(rise)/(run)=(\Delta y)/(\Delta x)`

And there we draw a dot for the second point,

Finally, join those two points with a straight line and the graph is,