Question

a. The linear equation -6x+2y=10 is written in standard form. Can you easily tell what the slope of the line is? The y-intercept? .

Answer 1

The slope of the line is 3, and the y-intercept is 5.

Step-by-step explanation:

The linear equation -6x+2y=10 is written in standard form. To determine the slope of the line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. Let's do this:

1. Start with the equation -6x+2y=10.
2. Add 6x to both sides of the equation to isolate the y-term: 2y = 6x + 10.
3. Divide both sides of the equation by 2 to solve for y: y = 3x + 5.

Therefore, the slope of the line is 3, and the y-intercept is 5.