The graph of $y=x$y=x is shown in the applet. The slider creates a new function $y=x+b$y=x+b.
An applet allowing students to simulate a graph by varying the y-intercept of a line. Two lines are graphed in a Coordinate Plane, $y=x$y=x and $y=x+b$y=x+b. Line $y=x$y=x is a fixed line that passes through $\left(0,0\right)$(0,0). The y-intercept $b$b of line $y=x+b$y=x+b can be varied using a horizontal slider. The y-intercept $b$b is represented by a solid dot. The slider has an initial value of $b=0$b=0, positioned at its midpoint. The slider can be moved to the left or right to vary the value of $b$b in increments of $0.5$0.5 units.
Choose the correct option to complete the statement:
If you add a negative number to $y=x$y=x, the line moves _______.
Down
Up
What does $m$m represent in the equation of a line $y=mx+b$y=mx+b?
What does $b$b represent in the equation of a line $y=mx+b$y=mx+b?
Does the line $y=4x+7$y=4x+7 have the same slope as $y=-9x+7$y=−9x+7?