Final answer:
To write the equation in slope-intercept form, we rearrange the given equation. The point (3, -4) satisfies the equation.
Step-by-step explanation:
To write the equation in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept, we just need to rearrange the given equation. The slope, m, is -3/2, and the y-intercept, b, is -6. So, the equation y = -3/2x - 6 is already in slope-intercept form.
To find the coordinates of the point (3, -4) on the graph of the equation, we substitute x = 3 into the equation and solve for y:
y = -3/2(3) - 6
y = -9/2 - 6
y = -9/2 - 12/2
y = -21/2
Therefore, the point (3, -4) lies on the graph of the equation.
Learn more about Writing equations in slope-intercept form