Question

3x-8y=30 to slope intercept form

Answer 1

To convert 3x-8y=30 to slope-intercept form, isolate y, resulting in the equation y = (3/8)x - (30/8), which corresponds to a line with a slope of 3/8 and a y-intercept of -3.75.

Step-by-step explanation:

To convert the equation 3x-8y=30 to slope-intercept form, we need to solve for y to get the equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept. Here are the steps to achieve this:

1. Subtract 3x from both sides of the equation to get -8y = -3x + 30.
2. Divide all terms by -8 to isolate y on one side of the equation. This gives us y = (3/8)x - (30/8).

Now the equation is in slope-intercept form, representing a line with a slope of 3/8 and a y-intercept of -30/8 (which simplifies to -3.75).