What is the x intercept of the line with the equation 4x+2y=12

Here we will show you how to calculate and provide solutions to math problems related to 4x - 2y = 12. We will start by calculating and showing you the solution for the x-intercept and y-intercept of 4x - 2y = 12. Then, we will show you how to get the graph plot coordinates for 4x - 2y = 12 so we can illustrate it on a graph. Finally, we will solve 4x - 2y = 12 for x and also for y, then calculate and show you the solution for the slope of 4x - 2y = 12.

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 - 2y = 12 4x - 2(0) = 12

x1 = 3 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 - 2y = 12 4(0) - 2y = 12

y2 = -6 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 - 2y = 12 as follows:

(x1,y1) and (x2,y2)

(3,0) and (0,-6)

Solve for x To solve for x, we solve the equation so the variable x is by itself on the left side: 4x - 2y = 12

x = 0.5y + 3

Solve for y

To solve for y, we solve the equation so the variable y is by itself on the left side: 4x - 2y = 12

y = 2x - 6

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 - 2y = 12

m = (y2 - y1)/(x2 - x1)

m = (-6 - 0)/(0 - 3)

m = 2

Ax - By = C Calculator

Now you know how to solve 4x - 2y = 12. Enter another math problem here:

Find the x- and y- intercepts: 4x-2y=12 ---------------------------- To find the x-intercept, let y = 0. You get 4x-0=12 x = 3 x-intercept is (3,0) ---------------------------- To find the y-intercept, let x = 0. You get 0-2y=12 y = -6 y-intercept is (0,-6) ======================== Cheers,

Stan H.

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