Question

slove 3x +4y =37 ( liner equation)​

Answer 1

Answer...✍

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.

3x + 4y = 37

3x + 4(0) = 37

x1 = 12.333    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.

3x + 4y = 37

3(0) + 4y = 37

y2 = 9.25    x2 = 0

30❤=Inbox

Answer 2

Answer:

Calculate and show the solution for the x-intercept and y-intercept of 3x + 4y = 37.

Calculate the graph plot coordinates for 3x + 4y = 37

Solve 3x + 4y = 37 for x and also for y.

Calculate and show the solution for the slope of 3x + 4y = 37

$\bf\blue{Find \:x-intercept}$

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.

$\sf\pink \implies \purple{3x + 4y = 37}$

$\sf\blue \implies\green{3x + 4(0) = 37}$

x1 = 12.333    y1 = 0

$\bf\blue{Find \:y-intercept}$

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.

$\sf\red \implies \orange {3x + 4y = 37}$

$\sf\purple \implies\pink {3(0) + 4y = 37}$

y2 = 9.25    x2 = 0

$\bf\blue{Get \:Graph \:Plot\: Coordinates}$

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 3x + 4y = 37 as follows:

$\sf\green\implies\blue{(x1,y1) \:and\: (x2,y2)}$

$\sf\orange\implies\red{(12.333,0) \:and \:(0,9.25)}$

$\bf\blue{Find\: slope}$

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 3x + 4y = 37

$\sf\pink\implies\purple{m = (y2 - y1)/(x2 - x1)}$

$\sf\blue\implies\green{m = (9.25 - 0)/(0 - 12.333)}$

$\sf\red \implies \orange{m = -0.75}$

$\bf\blue{Solve \:for\: x}$

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

$\sf\purple \implies \pink{3x + 4y = 37}$

$\sf\green \implies\blue{x = 12.333 - 1.333y}$

$\bf\blue{Solve \:for \:y}$

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

$\sf\orange \implies \red{3x + 4y = 37}$

$\sf\blue \implies \green{y = 9.25 - 0.75x}$