MATH SOLVE

5 months ago

Q:
# NEED HELP ASAP I will give you Brainly Can someone please help me with this??(PLEASE USE THE PICTURES ABOVE)And please do what it says.Thanks soo much thanks

Accepted Solution

A:

Both problems are similar, so we can work the general case first.

For ax +by = c, you can solve for y to put the equation into slope-intercept form.

Β by = -ax +c . . . . . . subtract the x-term

Β y = (-a/b)x +c/b . .. divide by the coefficient of x

The slope is the x-coefficient, -a/b; the y-intercept is c/b. The function is an odd-degree polynomial function, so its domain and range are both "all real numbers."

2x+3y=18

Slope-intercept form: y = (-2/3)x +6

Domain: all real numbers

Range: all real numbers

Slope: -2/3

Y-intercept: 6

3x-4y > 16

Slope-intercept form: y < (3/4)x -4

Domain: all real numbers

Range: all real numbers

Slope: 3/4

Y-intercept: -4

_____

You will note that the inequality symbol in y < (3/4)x -4 is reversed from that in 3x -4y > 16. That is because in solving for y, we divided by -4. When you multiply or divide an inequality by a negative number, you must reverse the sense of the inequality.

For ax +by = c, you can solve for y to put the equation into slope-intercept form.

Β by = -ax +c . . . . . . subtract the x-term

Β y = (-a/b)x +c/b . .. divide by the coefficient of x

The slope is the x-coefficient, -a/b; the y-intercept is c/b. The function is an odd-degree polynomial function, so its domain and range are both "all real numbers."

2x+3y=18

Slope-intercept form: y = (-2/3)x +6

Domain: all real numbers

Range: all real numbers

Slope: -2/3

Y-intercept: 6

3x-4y > 16

Slope-intercept form: y < (3/4)x -4

Domain: all real numbers

Range: all real numbers

Slope: 3/4

Y-intercept: -4

_____

You will note that the inequality symbol in y < (3/4)x -4 is reversed from that in 3x -4y > 16. That is because in solving for y, we divided by -4. When you multiply or divide an inequality by a negative number, you must reverse the sense of the inequality.