Writing Equations of Lines

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

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 find the slope between 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 represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of a line with slope 2 and y-intercept 3.

Back

y = 2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a vertical line?

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 linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y in terms of x.

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 + 5?

Back

The slope is -4.

Tags

CCSS.8.EE.B.5

Front

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

Back

y - 2 = 3(x - 1) or y = 3x - 1.

Front

What is the formula for the point-slope form of a linear equation?

Back

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