Question

Graph the two lines

2x + 3y = 18

3x -4y > 16.

Give the Domain and Range, Slope, and Y-intercept for each line.

Graph each equation above on the graph below and show all work. Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer.

2x + 3y = 18 3x -4y > 16

Slope-Intercept Form: Slope-Intercept Form:

Domain: Domain:

Range: Range:

Slope: Slope:

Y-intercept: Y-intercept:

Answer 1

unless the line is vertical or horizontal, it extends left-right and up-down forever.
So, the domain and range are both (-∞,+∞)

the slope of Ax+By=C is -A/B

for the x-intercept, set y=0
for the y-intercept, set x=0

for example the intercepts of 3x+4y=8 are (0,2) and (8/3,0)

for 3x-4y > 16
the solution set is all the shaded area below the line 3x-4y=16.

Answer 2

Thx so much Steve. I think I still need a little help tho.