Question

Solve the equation -10x + 11y = -6 into slope-intercept form. What is the slope and y-intercept?

a) Slope = 10, y-intercept = 11
b) Slope = 10, y-intercept = -6
c) Slope = -10, y-intercept = 11
d) Slope = -10, y-intercept = -6

Answer 1

The given equation -10x + 11y = -6 is converted to slope-intercept form y = (10/11)x - (6/11), which reveals a slope of 10/11 and a y-intercept of -6/11, not matching any of the provided options.

Step-by-step explanation:

To solve the equation -10x + 11y = -6 into slope-intercept form, we aim to isolate y on one side of the equation. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Here is the step-by-step process to transform the given equation:

1. Add 10x to both sides to get 11y = 10x - 6.
2. Divide every term by 11 to solve for y, resulting in y = (10/11)x - (6/11).

Now, we can identify the slope, which is (10/11), and the y-intercept, which is -6/11. Therefore, the correct option is none of the options provided as they do not match our solution.