Question

Given the system of inequalities:

4x−5y=1 zy−x<53
Which shows the given inequalities in slope-intercept form?
a) y>2x+6
b) y=x−7
c) y<2x+6
d) y2−x+y>2x+6

Answer 1

The first inequality converts to y = (4/5)x - 1/5, matching the slope-intercept form y = mx + b. However, the second inequality contains an undefined variable 'z', which suggests a typo. Clarification is needed to provide a complete answer.

Step-by-step explanation:

To rewrite the system of inequalities 4x−5y=1 and zy−x<53 in slope-intercept form, we need to solve each equation for y. Starting with the first inequality:

4x - 5y = 1

We solve for y:

-5y = -4x + 1

y = (4/5)x - 1/5

The first inequality is in the form of y = mx + b, where m is the slope and b is the y-intercept. However, this does not match any of the options given. Since z is not a defined variable in our options, it appears there may be a typo in the second inequality provided. Therefore, without the correct inequality, we cannot accurately convert it to slope-intercept form. The best course of action would be to request clarification on the second inequality before proceeding.