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Plot the equation with respect to y, so let's re-write the equation in slope intercept form:
6x - 4y = -24
*subtract 6x from both sides, then divide through by -4
-4y = -6x - 24
y = (-6/-4)x + (-24/-4)
y = (3/2)x + 6
In slope intercept form:
y = mx + b
where: m = slope b = y-intercept
To answer the question, the line crosses the vertical axis line at 6 units up and has a positive slope where the rise 3 units and the run is 2 units

Answered by Anonymous | 2024-06-10

To graph the equation 6x - 4y = -24, rearrange it to solve for y. Choose different values for x and plug them into the equation to find y. Connect the points on a graph to get a straight line.
To graph the **equation **6x - 4y = -24, follow these steps:
Solve for y in terms of x to obtain the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
6x - 4y = -24
First, add 4y to both sides:
6x - 4y + 4y = -24 + 4y
6x = 4y - 24
Now, divide both sides by 4:
(6x)/4 = (4y - 24)/4
(3/2)x = y - 6
y = (3/2)x + 6
Now that the equation is in** slope-intercept form, **you can see that the slope (m) is 3/2, and the y-intercept (b) is 6.
Plot the y-intercept, which is the point (0, 6).
Use the slope (rise over run) to find additional points. For the slope of 3/2, it means for every 2 units you move to the right (run), you should move 3 units up (rise). So, starting from (0, 6), you can go up 3 units and to the right 2 units to find another point, giving you (2, 9).
Connect the two points, (0, 6) and (2, 9), with a straight line. This line represents the graph of the equation 6x - 4y = -24.
Your graph should be a straight line slanting upward to the right, passing through the points (0, 6) and (2, 9).
Learn more about **Graphing linear equations **here:
https://brainly.com/question/14240165
#SPJ3

Answered by nobomika97 | 2024-06-18

To graph the equation 6 x − 4 y = − 24 , rearrange it into the form y = 2 3 ​ x + 6 . Plot the y-intercept at ( 0 , 6 ) and use the slope of 2 3 ​ to find additional points. Connect these points with a straight line to complete the graph.
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Answered by nobomika97 | 2024-10-01

Jawaban:160000Penjelasan dengan langkah-langkah:jadikan jawaban terbaik ya

Answered by dyantricecilia | 2025-07-07