Standard Form to Slope-Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

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 and the direction it goes (positive or negative).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step in converting the equation -x + 2y = -10 into slope-intercept form?

Back

The first step is to add x to each side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the equation of a line is y = 1/2x - 5, what is the slope?

Back

The slope of the line is 1/2.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the equation y = 1/2x + 6?

Back

The y-intercept of the equation is 6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = k, where k is a constant.

Front

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

Back

The slope (m) between two points is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5