Linear Graphs & Equations

Front

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

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the slope of a line given 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

What does the slope of a line represent in a graph?

Back

The slope 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 is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the point of intersection of two lines?

Back

The point of intersection represents the solution to the system of equations formed by the two lines.

Tags

CCSS.8.EE.C.8B

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the formula to find the intersection point of two lines given their equations?

Back

To find the intersection point, solve the system of equations formed by the two lines simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a line to have a positive slope?

Back

A line with a positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5