Slope-Intercept Form

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

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right, meaning as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of 2 and a y-intercept of 3.

Back

The equation is: y = 2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) in their slope-intercept forms.

Tags

CCSS.8.EE.B.6

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).

Tags

CCSS.8.EE.B.6

Front

Convert the equation y = 5x - 2 into slope-intercept form.

Back

The equation is already in slope-intercept form: y = 5x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3