Question

4. Match the equation with its graph. -4x+6y=24​

Answer 1

Explanation:

-4x+6y=24​

6y = 4x + 24

y = 2/3 x + 4.

Its the one which rises to the right and passes through the axes at x = -6 and y = 4.

Answer 2

Explanation:

Solve the given equation for y: 6y = 4x + 24. Thus, y = (2/3)x + 4.

This has a y-intercept of 4 and a slope of +2/3. So we can immediately eliminate the middle two graphs.

The correct graph is the first one. We know it's correct because the y intercept is + (whereas it's - in the other alternative answer choice).