Question

use the drawing tools to form the correct answer on the graph. graph the line that represents the equation y = -5x + 3

Explanation:

Step1: Identify the slope and y-intercept

The equation is \( y = -2x + 3 \). In the slope - intercept form \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. Here, \( m=-2 \) and \( b = 3 \). So the y - intercept is at the point \( (0,3) \).

Step2: Find another point using the slope

The slope \( m=-2=\frac{-2}{1} \). Starting from the y - intercept \( (0,3) \), we move down 2 units (because the numerator of the slope is - 2) and 1 unit to the right (because the denominator of the slope is 1). So we get the point \( (0 + 1,3-2)=(1,1) \). We can also move up 2 units and 1 unit to the left from \( (0,3) \) to get \( (- 1,5) \).

Step3: Plot the points and draw the line

Plot the points \( (0,3) \), \( (1,1) \) (or other points found using the slope) on the coordinate plane. Then draw a straight line passing through these points.

Answer:

To graph \( y=-2x + 3 \), plot the y - intercept \( (0,3) \), then use the slope \( - 2 \) to find another point (e.g., \( (1,1) \) or \( (-1,5) \)) and draw a line through the plotted points.