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 a linear equation?

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 a linear equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If m = 0, what does the graph of the line look like?

Back

If m = 0, the graph is a horizontal line, indicating that y does not change as x changes.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of -3 and a y-intercept of 4?

Back

The equation is y = -3x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Back

The equation is y = 2x - 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the standard form of a line (Ax + By = C) to slope-intercept form?

Back

To convert, solve for y to get y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

The slope of the line is 1/2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope of the line is -4.

Tags

CCSS.8.EE.B.5