transform the liner equation 7x + -2y = -6 to slop-intercept form

Answer 1

To transform the linear equation 7x + -2y = -6 to slope-intercept form, follow these steps:

1. Begin by isolating the term with the variable y on one side of the equation. We'll move the 7x term to the other side:

-2y = -7x - 6

2. Now, divide both sides of the equation by -2 to solve for y:

y = (-7x - 6) / -2

3. Simplify the right side of the equation:

y = (7/2)x + 3

Therefore, the linear equation 7x + -2y = -6 is transformed to slope-intercept form as y = (7/2)x + 3.