Y=MX+B from Graph, Table, Ordered Pair

Front

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

Back

The slope-intercept form is 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 find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept b is the value of y when x = 0; it is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 2 and passes through the point (0, -3), what is the equation of the line?

Back

y = 2x - 3.

Front

What is the y-intercept of the line represented by the equation y = -3x + 5?

Back

The y-intercept is (0, 5).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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 equations.

Tags

CCSS.8.EE.B.6

Front

What is the equation of a line that passes through the points (1, 2) and (3, 6)?

Back

y = 2x.

Front

If the slope of a line is -1/2, what does this indicate about the line's direction?

Back

A slope of -1/2 indicates that the line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

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

Back

It represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3