Slope-Intercept & Point-Slope Form

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

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

How do you find the slope from 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 is the point-slope form of a linear equation?

Back

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

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = (4/3)x - 4.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

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

Back

An undefined slope indicates that the line is vertical.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -5x + 2?

Back

The slope is -5.

Tags

CCSS.8.EE.B.5

Front

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

Back

y - 1 = 3(x - 2).