slope intercept form

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 in the equation y = -2x + 3?

Back

In the equation y = -2x + 3, the slope (m) is -2.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the slope of a line is 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, the value of y increases by 3 units, making the line steep.

Tags

CCSS.8.EE.B.5

Front

How would you convert the equation y = 2/3x - 3 into slope-intercept form?

Back

The equation y = 2/3x - 3 is already in slope-intercept form, where the slope is 2/3 and the y-intercept is -3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept of the equation y = -4x - 5 is -5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine the slope from a graph of a linear equation?

Back

The slope can be determined by finding two points on the line and using the formula (change in y) / (change in x).

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables, indicating how one variable changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

If an equation is given as y = 1/4x + 2, what is the slope and y-intercept?

Back

In the equation y = 1/4x + 2, the slope is 1/4 and the y-intercept is 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you graph the equation y = 3x + 6?

Back

To graph y = 3x + 6, start at the y-intercept (0, 6) and use the slope (3) to find another point by going up 3 units and right 1 unit.