Ashleenbondidn
Answered

Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Our community provides timely and precise responses to help you understand and solve any issue you face.

Use the drawing tools to form the correct answer on the provided graph.

Graph the line that represents the equation [tex]y = -\frac{2}{3}x + 1[/tex].

Sagot :

GinnyAnsweridn
To graph the line that represents the equation [tex]\( y = -\frac{2}{3}x + 1 \)[/tex], follow these steps:

1. Identify the y-intercept: This is the point where the line crosses the y-axis. The equation [tex]\( y = -\frac{2}{3}x + 1 \)[/tex] is in slope-intercept form, [tex]\( y = mx + b \)[/tex], where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept.
- In this case, the y-intercept ([tex]\( b \)[/tex]) is 1.
- Plot the point (0, 1) on the graph.

2. Determine the slope: The slope [tex]\( m \)[/tex] is [tex]\(-\frac{2}{3}\)[/tex].
- This means that for every 3 units you move to the right (positive direction on the x-axis), you will move 2 units down (negative direction on the y-axis).

3. Plot a second point using the slope:
- From the y-intercept (0, 1), move 3 units to the right to (3, 1).
- From (3, 1), move 2 units down to (3, -1).
- Plot the point (3, -1).

4. Draw the line: Draw a straight line through the points (0, 1) and (3, -1). This is the graph of the equation [tex]\( y = -\frac{2}{3}x + 1 \)[/tex].

By following these steps, you will have the correct graph of the line [tex]\( y = -\frac{2}{3}x + 1 \)[/tex] on your coordinate plane.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.