Answer:
see the explanation
Step-by-step explanation:
Part a) Graph y=2x+3
This is the equation of a straight line
To graph the line we need two points
Find the intercepts
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0
[tex]y=2(0)+3=3[/tex]
The y-intercept is the point (0,3)
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0
[tex]0=2x+3\\x=-1.5[/tex]
The x-intercept is the point (-1.5,0)
Plot the intercepts and connect them to graph the line
see the attached figure N 1
Part b) Graph 5x-2y=10
This is the equation of a straight line
To graph the line we need two points
Find the intercepts
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0
[tex]5(0)-2y=10\\y=-5[/tex]
The y-intercept is the point (0,-5)
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0
5x-2(0)=10\\x=2
The x-intercept is the point (2,0)
Plot the intercepts and connect them to graph the line
see the attached figure N 2
Part c) Graph x=5
This is the equation of a vertical line (parallel to the y-axis)
All x-coordinates of the points belonging to the line will be equal to 5
see the attached figure N 3
Part d) Graph y=-4
This is a horizontal line (parallel to the x-axis)
All y-coordinates of the points belonging to the line will be equal to -4
see the attached figure N 4
