Question

graph the line. y = - 5x + 3

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=-5x + 3\), when \(x = 0\), \(y=3\). So the y - intercept is the point \((0,3)\).

Step2: Find the x - intercept

Set \(y = 0\). Then \(0=-5x + 3\). Solving for \(x\):
\[

$$\begin{align*} 5x&=3\\ x&=\frac{3}{5}=0.6 \end{align*}$$

\]
So the x - intercept is the point \((0.6,0)\).

Step3: Plot the points and draw the line

Plot the points \((0,3)\) and \((0.6,0)\) on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points \((0,3)\) and \((0.6,0)\) and draw a line through them.