Question

1. $6x - 4y = 24$

Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $6x-4y=24$:
$$6x - 4(0) = 24$$
$$6x = 24$$
$$x = 4$$
So the x-intercept is $(4, 0)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $6x-4y=24$:
$$6(0) - 4y = 24$$
$$-4y = 24$$
$$y = -6$$
So the y-intercept is $(0, -6)$.

Step3: Rewrite in slope-intercept form

Isolate $y$ to confirm slope:
$$-4y = -6x + 24$$
$$y = \frac{3}{2}x - 6$$
Slope is $\frac{3}{2}$, meaning for every 2 units right, the line rises 3 units.

Answer:

Plot the x-intercept $(4, 0)$ and y-intercept $(0, -6)$ on the grid, then draw a straight line through these two points. This line represents the equation $6x - 4y = 24$.