Slope-intercept

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.EE.B.6

CCSS.8.F.A.3

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in the slope-intercept form?

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 a plumber charges $50 for a house call plus $12 per hour for labor, how would you express this as a linear equation?

Back

The equation is y = 12x + 50, where y is the total charge and x is the number of hours worked.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

Given m = 3 and b = 6, write the slope-intercept equation.

Back

The equation is y = 3x + 6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (1, -19) and (-2, -7).

Back

The slope is -4.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Tags

CCSS.8.EE.B.5