Determine the equation of a line given a point and slope

Front

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

Back

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

Isolate y in the equation y - y₁ = m(x - x₁) to get y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the slope m = -3 and the point (1, 4), write the equation in point-slope form.

Back

y - 4 = -3(x - 1).

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

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

Back

The line is horizontal and does not rise or fall as x changes.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical and does not change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

Convert the equation y - 3 = 2(x - 1) to slope-intercept form.

Back

y = 2x + 1.

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 + 2?

Back

The slope is 4.

Tags

CCSS.8.EE.B.5

Front

Given the equation y = -2x + 5, what is the y-intercept?

Back

The y-intercept is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y - 1 = 3(x - 2).