What is the x-intercept of the graph represented by the equation 4x + 3y + 5?

To find the x-intercept of the graph given by the equation 4x + 3y + 5, we need to determine the point where the graph intersects the x-axis. This occurs when the value of y is equal to zero.

Start by setting y = 0 in the equation:

4x + 3(0) + 5 = 0

which simplifies to:

4x + 5 = 0

Next, isolate x:

4x = -5
x = -rac{5}{4}

Therefore, the x-intercept of the graph is at the point (-1.25, 0). This point represents where the line crosses the x-axis.

To summarize, the x-intercept of the equation 4x + 3y + 5 = 0 is (-1.25, 0).

Leave a Comment