Writing Linear Equations given 2 points & point and slope

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.F.A.3

CCSS.8.EE.B.6

Front

How do you find the slope (m) given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as 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.F.A.3

CCSS.8.EE.B.6

Front

Given the points (0, 3) and (-4, -1), write the equation in slope-intercept form.

Back

y = x + 3.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Rearrange the equation y - y1 = m(x - x1) to solve for y.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

Given the points (2, 4) and (6, 8), find the slope of the line.

Back

The slope m = (8 - 4) / (6 - 2) = 1.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope 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

Write the linear equation in y = mx + b form using the points (1, 2) and (3, 6).

Back

y = 2x.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.