Question

functions and lines
graphing a line given its slope and y-intercept
graph the line with y-intercept -8 and slope 3.

Explanation:

Step1: Identify y-intercept

The y-intercept is -8, so plot the point \((0, -8)\) on the y - axis.

Step2: Use slope to find next point

The slope \(m = 3=\frac{3}{1}\), which means from \((0, -8)\), move 1 unit to the right (increase x by 1) and 3 units up (increase y by 3). So the next point is \((0 + 1,-8+ 3)=(1, - 5)\).

Step3: Draw the line

Draw a straight line through the points \((0, -8)\) and \((1, -5)\) (and extend it in both directions) to represent the line with equation \(y = 3x-8\).

Answer:

The line is graphed by plotting \((0, -8)\) and using the slope to find another point (e.g., \((1, -5)\)) then drawing a line through them.