Linear Functions and Equations

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 a linear equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a line that descends from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

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 y = mx + b.

Front

If a line has a slope of 5, what does this mean in terms of rise over run?

Back

A slope of 5 means that for every 1 unit you move to the right (run), the line rises 5 units (rise).

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of -2 and a y-intercept of 4?

Back

The equation of the line is y = -2x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean for a slope to be undefined?

Back

An undefined slope occurs in a vertical line where the x-value does not change, resulting in a division by zero when calculating slope.

Tags

CCSS.8.EE.B.5

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables, which can be used to analyze trends and make predictions.

Tags

CCSS.8.EE.B.5