Final answer:
To find the x-intercept and y-intercept of the equation 6x + 4y = -15, substitute y=0 to find the x-intercept (-2.5, 0), and substitute x=0 to find the y-intercept (0, -15/4).
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation 6x + 4y = -15, we can set y=0 and solve for x to find the x-intercept, and set x=0 and solve for y to find the y-intercept.
To find the x-intercept, we substitute y=0 into the equation: 6x + 4(0) = -15. This simplifies to 6x = -15, and solving for x gives x = -2.5. Therefore, the x-intercept is (-2.5, 0).
To find the y-intercept, we substitute x=0 into the equation: 6(0) + 4y = -15. This simplifies to 4y = -15, and solving for y gives y = -15/4. Therefore, the y-intercept is (0, -15/4).