Writing Equations of Lines

Front

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

Back

The slope-intercept form is given by the equation 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 find the slope of a line given 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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Write the equation of a line with slope 3 through the point (1, 2).

Back

y = 3x - 1.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

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

Back

Solve for y to get y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of the line with slope -1/2 and y-intercept 4.

Back

y = -1/2x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the formula for finding the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1).