Question

2 x + 40y = 80 changing from standard to slope intercept form

Answer 1

To convert the equation from standard to slope-intercept form, isolate y by subtracting 2x from both sides, then divide by 40 to solve for y, resulting in the equation y = (-1/20)x + 2.

Step-by-step explanation:

Converting the equation 2x + 40y = 80 from standard form to slope-intercept form means we want to solve for y to get it into the form y = mx + b. To do this, follow these steps:

1. Subtract 2x from both sides of the equation to isolate terms with y on one side: 40y = -2x + 80.
2. Divide each term by 40 to solve for y: y = (-2/40)x + (80/40).
3. Simplify the coefficients: y = (-1/20)x + 2.

Now the equation y = (-1/20)x + 2 is in slope-intercept form, where the slope(m) is -1/20 and the y-intercept(b) is 2.