Writing Linear Equations From Two Points

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

How do you calculate 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 does the y-intercept (b) 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

Given points (2, 3) and (4, 7), write the linear equation in slope-intercept form.

Back

y = 2x - 1.

Front

What is the significance of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Tags

CCSS.8.EE.B.5

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point (0, b) on the graph.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the points (1, 2) and (3, 4), what is the slope of the line?

Back

The slope m = (4 - 2) / (3 - 1) = 1.

Tags

CCSS.8.EE.B.5

Front

What is the formula to convert the standard form of a linear equation to slope-intercept form?

Back

To convert Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning y remains constant regardless of x.

Tags

CCSS.8.EE.B.5