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CanadaON
Grade 9

6.06 Slope-intercept form

Interactive practice questions

The graphs of the equations $y=x+1$y=x+1, $y=2x+1$y=2x+1 and $y=4x+1$y=4x+1 are shown below on the same number plane.

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a

What do all of the equations have in common?

The constant is the same.

A

The coefficient of $x$x is the same.

B

They are all written with $x$x as the subject of the equation.

C
b

What do all of the graphs have in common?

All of the graphs cross the $x$x-axis at the same point.

A

All of the graphs have the same slope.

B

All of the graphs cross the $y$y-axis at the same point.

C
c

What can you conclude from the answers above?

Equations of the form $y=ax+b$y=ax+b that have the same value of $b$b generate graphs that cross the $x$x-axis at the same point.

A

Equations of the form $y=ax+b$y=ax+b that have the same value of $b$b generate graphs that cross the $y$y-axis at the same point.

B

Equations with the same $x$x-intercept generate graphs that cross the $y$y-axis at the same point.

C

Equations with the same constant term generate graphs that have the same slope.

D
Easy
1min

What is the $y$y-intercept of the line $y=-x+6$y=x+6 ?

Easy
< 1min

What does $b$b represent in the equation $y=ax+b$y=ax+b?

Easy
< 1min

Look at the graph of the line.

Easy
1min
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Outcomes

9.B3.4

Solve problems involving operations with positive and negative fractions and mixed numbers, including problems involving formulas, measurements, and linear relations, using technology when appropriate.

9.C3.1

Compare the shapes of graphs of linear and non-linear relations to describe their rates of change, to make connections to growing and shrinking patterns, and to make predictions.

9.C3.2

Represent linear relations using concrete materials, tables of values, graphs, and equations, and make connections between the various representations to demonstrate an understanding of rates of change and initial values.

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