Problema Solution

1.Graph the line 3x-5y=15 on a suitable viewing window. Find the x-interecept, the y-intercept and the evaluate at x=-3,x=2/3,and x=35.

2.Graph the lines y=5x-4 and 2x+10y=-3 on the same set of axes. find the slope, x-intercept, and y-intercept of each line. Are the lines parallel, perpendicular, or neither?

3.Graph the vertical lines x=-3, x=4, and x=5/7 on the same set of axes.

4.Graph the linear inequality y is less than 9x-5 on a suitable viewing window. Is the orgin in the solution set of this inequality?

5.Graph the linear inequality 2x+9y greater than 18 on a suitable viewing windor.

Answer provided by our tutors

1.Graph the line 3x-5y=15 on a suitable viewing window. Find the x-interecept, the y-intercept and the evaluate at x=-3,x=2/3,and x=35.

Solution:

x-interecept: x = 5

y-intercept: y = -3

x = -3, y = -24/5

x = 2/3, y = -13/5

x = 35, y = 18

2.Graph the lines y=5x-4 and 2x+10y=-3 on the same set of axes. find the slope, x-intercept, and y-intercept of each line. Are the lines parallel, perpendicular, or neither?

Solution:

Slope of y=5x-4 is 5

x-interecept of y=5x-4 is x = 4/5

y-intercept of y=5x-4 is y = -4

Slope of 2x+10y=-3 is -1/5

x-interecept of 2x+10y=-3 is x = -3/2

y-intercept of 2x+10y=-3 is y =-3/10

The two lines are perpendicular

3.Graph the vertical lines x=-3, x=4, and x=5/7 on the same set of axes.

Solution:

The graph are three line parallel to y-axis and pass throght (-3,0), (4,0), (5/7,0)

4.Graph the linear inequality y is less than 9x-5 on a suitable viewing window. Is the orgin in the solution set of this inequality?

Solution:

y<9x-5

The orgin is not in the solution set of this inequality.

5.Graph the linear inequality 2x+9y greater than 18 on a suitable viewing windor.

Solution:

2x+9y>18