Question

Please answer Question 4.

Answer 1

see the explanation

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

`y=2(0)+3=3`

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

`0=2x+3\\x=-1.5`

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

`5(0)-2y=10\\y=-5`

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