Graphing y=mx+b

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine where to start graphing the line in y = mx + b?

Back

You start graphing the line at the y-intercept, which is the value of 'b'.

Front

What does the slope 'm' represent in the equation y = mx + b?

Back

The slope 'm' represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that the line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line ascends from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

Front

How can you find the x-intercept from the equation y = mx + b?

Back

To find the x-intercept, set y to 0 and solve for x.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope, meaning x is constant while y changes.

Tags

CCSS.8.EE.B.5

Front

How do you graph the equation y = -3x + 4?

Back

Start at the y-intercept (0, 4) and use the slope (-3) to find another point.