MATH SOLVE

4 months ago

Q:
# Given the system of inequalities: 4x – 5y < 1y – x < 3Which shows the given inequalities in slope-intercept form?the answer is B y > x – y < 2x + 6the answer is B

Accepted Solution

A:

Answer:

First inequality: y > [tex] \frac{4}{5} x - \frac{1}{5} [/tex]

Second inequality: y < 3 + x

Explanation:

The inequality in slope-intercept form has the following general formula:

y < mx + c or y > mx + c (according to the given sign)

where m is the slope and c is the y-intercept

This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.

First given inequality:

4x - 5y < 1

4x - 5y + 5y < 1 + 5y

1 + 5y > 4x

1 + 5y - 1 > 4x - 1

5y > 4x - 1

y > [tex] \frac{4}{5} x - \frac{1}{5} [/tex]

comparing this to the general form, we would find that:

slope (m) = 4/5

y-intercept (c) = 1/5

Second given inequality:

y - x < 3

y - x + x < 3 + x

y < 3 + x

comparing this to the general form, we would find that:

slope (m) = 1

y-intercept (c) = 3

Hope this helps :)

First inequality: y > [tex] \frac{4}{5} x - \frac{1}{5} [/tex]

Second inequality: y < 3 + x

Explanation:

The inequality in slope-intercept form has the following general formula:

y < mx + c or y > mx + c (according to the given sign)

where m is the slope and c is the y-intercept

This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.

First given inequality:

4x - 5y < 1

4x - 5y + 5y < 1 + 5y

1 + 5y > 4x

1 + 5y - 1 > 4x - 1

5y > 4x - 1

y > [tex] \frac{4}{5} x - \frac{1}{5} [/tex]

comparing this to the general form, we would find that:

slope (m) = 4/5

y-intercept (c) = 1/5

Second given inequality:

y - x < 3

y - x + x < 3 + x

y < 3 + x

comparing this to the general form, we would find that:

slope (m) = 1

y-intercept (c) = 3

Hope this helps :)