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