3.8 Graphing Practice

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you identify the slope from the equation y = -2x + 4?

Back

The slope (m) is -2.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in the equation y = 5x - 3?

Back

The y-intercept is -3, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -3?

Back

The equation is y = (1/3)x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.8.EE.B.6

Front

What is the equation of a line that passes through the point (0, 3) with a slope of -4/5?

Back

The equation is y = (-4/5)x + 3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation y = 1/5x + 3 into standard form?

Back

Multiply by 5 to get 5y = x + 15, then rearrange to standard form: x - 5y + 15 = 0.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has an equation y = -5x - 3, what is its slope?

Back

The slope is -5.

Tags

CCSS.8.EE.B.5