Question

Identify the slope and y-intercept of the line 5x-3y=15.

Answer 1

The slope-intercept form of the equation 5x - 3y = 15 is y = (5/3)x - 5, where the slope (m) is 5/3 and the y-intercept (b) is -5.

Step-by-step explanation:

To identify the slope and y-intercept of the line given by the equation 5x - 3y = 15, we first need to solve for y to get it into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Here's the step-by-step process:

1. Begin with the original equation: 5x - 3y = 15.
2. Isolate the y term by subtracting 5x from both sides: -3y = -5x + 15.
3. Divide every term by -3 to solve for y: y = (5/3)x - 5.

This brings us to the slope-intercept form of the line. The slope (m) is 5/3 and the y-intercept (b) is -5.