Writing an equation of a line

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line 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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line with a slope of -2 that passes through the point (17, -28)?

Back

The equation is y = -2x + 6.

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 y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

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

How do you determine the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form.

Front

What is the equation of the line in slope-intercept form given a slope of ⅔ and the point (6, 19)?

Back

The equation is y = ⅔ x + 15.