Select the correct graph of -4x + 3y = 6.

-4x + 3y = 6.
Rearrange into form y = mx + c. 3y = 4x + 6. Divide by 3. y = (4/3)x + 2.
Therefore slope, m = (4/3), Y Intercept, c = 2. X intercept, that is when y = 0. y = (4/3)x + 2. 0 = (4/3)x + 2. -(4/3)x = 2. x = (2*3)/-4 = -3/2 = -1.5. X intercept is = -1.5.
Looking at the pictures, and using y and x intercepts as 2 and -1.5 respectively. Also note that the slope is positive (4/3) so line climbs upwards from left to right. Answer = Graph (a). Cheers.

Answered by olemakpadu | 2024-06-10

The easiest way to work out the answer is to work it out.
If x = 0 -4 X 0 = 0. 6 - 0 = 6. 6 / 3 = 2. If x = 0, y = 2
If x = 1. -4 X 1 = -4. 6 - -4 = 6 + 4 = 10. 10 / 3 = 3.33333
If x = 2 -4 X 2 = -8 6 - -8 = 6 + 8 = 14 14 / 3 = 4.666666
Now that you've got 3 of the answers, you check your graphs to see which one fits. The answer is the first graph.

Answered by ZackFry | 2024-06-10

To find the correct graph of − 4 x + 3 y = 6 , we convert it to the slope-intercept form y = 3 4 ​ x + 2 , identifying a positive slope and y-intercept at (0, 2). The x-intercept is (-1.5, 0). Therefore, the correct graph is Graph (a) .
;

Answered by olemakpadu | 2024-10-30