Question

Write the following inequality in slope-intercept form. 5x-5y≥70

Answer 1

To rewrite the inequality 5x - 5y ≥ 70 in slope-intercept form, we solve for y by subtracting 5x from both sides and then dividing by -5, resulting in y ≤ x - 14, with a slope of 1 and a y-intercept of -14.

Step-by-step explanation:

The question is asking to rewrite the inequality 5x - 5y ≥ 70 in slope-intercept form. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To convert the given inequality into this form, we need to solve for y.

Steps to rewrite the inequality in slope-intercept form:

1. Subtract 5x from both sides of the inequality: -5y ≥ -5x + 70
2. Divide every term by -5 to solve for y: y ≤ x - 14. Note that when dividing by a negative, the inequality symbol reverses its direction.

The inequality in slope-intercept form is y ≤ x - 14. The slope is 1 and the y-intercept is -14.

Answer 2

-5y ≥ -5x + 70

Step-by-step explanation:

Slope-Intercept form is y = mx + b

To turn this inequality into slope-intercept form, you need to subtract 5x from both sides. This makes the 5x negative because of the minus sign. The original minus sign in front of 5y stays there as a negative sign. So the inequality becomes -5y ≥ -5x + 70.