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.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 real-world context?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

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 y when x = 0.

Front

How can you convert a point-slope form equation to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the significance of the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form if needed.

Front

What is the formula to find the y-intercept when given a slope and a point?

Back

Use the formula b = y - mx, where (x, y) is the point and m is the slope.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Tags

CCSS.8.EE.B.6

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other; if one slope is m, the other is -1/m.

Tags

CCSS.8.EE.B.6