Question

Write a equation in slope intercept form

Answer 1

`y=(1)/(2) x-8`

Explanation:

Slope-intercept form is organized in the form y=mx+b, where m is the slope and b is the y-intercept.

Because we're already given the values, we just have to plug them into the equation.

`y=mx+b\\y=(1)/(2) x+(-8)\\y=(1)/(2) x-8`

To graph this equation, first plot a point at (0, -8). This is because the y-intercept is -8, meaning that the line crosses the y-axis when y=-8.

Then, plot the next point using the slope. The slope is equal to the rise/run of the line, or the number of units the line travels upwards / the number of units the line travels to the right. Because the slope is 1/2, we know that for every 2 units a point travels to the right, it goes up by 1 unit.

Please see the picture attached.

I hope this helps!