Drawing a linear graph

Question 1

What are the steps to draw a linear function

Answer 1

Step 1 Compute 3 points from the linear function

Step 2 Plot the points on a cartesian plane

Step 3 Draw a line connecting the 3 points

Question 2

If the line drawn does not pass through all the points, is it possible to be a linear function

Answer 2

No, the line must pass through all the points

If it does not, check the computation in step 1

Question 3

Compute the value of y when x = -1

y = 2x + 1

Answer 3

y = 2 * (-1) + 1

= -2 + 1

= -1

The point is (-1, -1)

Question 4

Compute the value of y when x = 0

y = 2x + 1

Answer 4

y = 2 * 0 + 1

= 0 + 1

= 1

The point is (0, 1)

Question 5

Compute the value of y when x = 1

y = 2x + 1

Answer 5

y = 2 * 1 + 1

= 2 + 1

= 3

The point is (1, 3)

Question 6

Are you able to plot the points (-1, -1) ; (0, 1) ; (1, 3) and draw the line

Answer 6