Question

Drag the red and blue dots along the x-axis and y-axis to graph −2x+y=8.

Answer 1

A graph of the linear function -2x + y = 1 is shown in the image attached below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

• m represent the slope or rate of change.
• x and y are the points.
• b represent the y-intercept or initial value.

Since the given linear function -2x + y = 1 is in standard form, we would start by plotting the y-intercept:

y = 2x + 1

y = 2(0) + 1

y = 1

Next, we would use an online graphing tool to plot the given linear equation for the values in its domain by starting with its y-intercept and moving 1 unit up, followed by a vertical stretch of 2 as shown in the graph attached below.

Answer 2

We are to plot a graph of the linear function give.

-2x + y = 8

The dot on the vert represent the blue dot which is the y - axis.

The dot on the horizontal represent the red dot which is the x - axis.