Interactive practice questions
Consider these three linear equations:
$y=x+1$y=x+1, $y=2x+1$y=2x+1, and $y=4x+1$y=4x+1
What do all of the equations have in common?
The coefficient of $x$x is the same.
The constant term is the same.
Here are the graphs of the three linear equations:
What do all of the graphs have in common?
All the graphs intersect the $y$y-axis at the same point.
All the graphs intersect the $x$x-axis at the same point.
All the graphs have the same gradient.
Which of the following is true of lines that have the form $y=mx+1$y=mx+1?
The line will pass through $\left(1,0\right)$(1,0).
The line will have slope $-1$−1.
The line will pass through $\left(0,1\right)$(0,1).
The line will have slope $1$1.
Consider these three linear equations:
$y=2x+4$y=2x+4, $y=2x+8$y=2x+8, and $y=2x-4$y=2x−4
Select the three lines that have the same gradient:
Consider the line graph shown below: