Here we will show you how to calculate and provide solutions to math problems related to 4x – y = 2.

We will start by calculating and showing you the solution for the x-intercept and y-intercept of 4x – y = 2.

Then, we will show you how to get the graph plot coordinates for 4x – y = 2 so we can illustrate it on a graph.

Finally, we will solve 4x – y = 2 for x and also for y, then calculate and show you the solution for the slope of 4x – y = 2.

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x – y = 2

4x – 1(0) = 2

x1 = 0.5 y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x – y = 2

4(0) – y = 2

y2 = -2 x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x – y = 2 as follows:

(x1,y1) and (x2,y2)

(0.5,0) and (0,-2)

Solve for x

To solve for x, we solve the equation so the variable x is by itself on the left side:

4x – y = 2

x = 0.25y + 0.5

Solve for y

To solve for y, we solve the equation so the variable y is by itself on the left side:

4x – y = 2

y = 4x – 2

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x – y = 2

m = (y2 – y1)/(x2 – x1)

m = (-2 – 0)/(0 – 0.5)

m = 4

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