Writing the Equation of a Line: Slope-Intercept

Front

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

Back

The slope-intercept form is 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

What do the variables m and b represent in the equation y = mx + b?

Back

m represents the slope of the line, and b represents the y-intercept, the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope (m) from 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

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

Back

The y-intercept is 5, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line falls steeply from left to right.

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of 1 and a y-intercept of -3.

Back

y = 1x - 3 or y = x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Tags

CCSS.8.EE.B.5

Front

How can you convert the standard form of a line Ax + By = C to slope-intercept form?

Back

To convert, solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Identify the slope and y-intercept of the line y = 2x + 4.

Back

Slope (m) is 2, and y-intercept (b) is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Tags

CCSS.8.EE.B.5