Slope-Intercept Form

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

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, meaning the value of y when x = 0.

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 using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

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 and does not rise or fall.

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

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

Back

The equation is y = 3x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Back

The y-intercept is 7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Back

Tags

CCSS.8.EE.B.5

Front

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

Back

The equation is y - 3 = -1(x - 2), which simplifies to y = -x + 5.