Question

graph this line using th
$y = -\frac{9}{5}x + 8$

Explanation:

Step1: Identify Slope and Intercept

The equation is in slope - intercept form \(y = mx + b\), where \(m=-\frac{9}{5}\) (slope) and \(b = 8\) (y - intercept). So, the line crosses the y - axis at \((0,8)\).

Step2: Use Slope to Find Another Point

The slope \(m=-\frac{9}{5}\) means for every 5 units we move to the right (increase in \(x\) by 5), we move down 9 units (decrease in \(y\) by 9). Starting from \((0,8)\), if we move \(x = 5\), then \(y=-\frac{9}{5}(5)+8=-9 + 8=-1\). So, another point on the line is \((5,-1)\).

Step3: Graph the Line

Plot the points \((0,8)\) and \((5,-1)\) on the coordinate plane and draw a straight line through them.

Answer:

To graph \(y =-\frac{9}{5}x + 8\), plot \((0,8)\) (y - intercept) and \((5,-1)\) (using slope \( -\frac{9}{5}\)), then draw a line through these points.