Standard Form to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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 to isolate it on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as 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 of a line represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

How can you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from a standard form equation (Ax + By = C), set x = 0 and solve for y.

Front

What is the y-intercept in the equation 10x - 12y = -4?

Back

The y-intercept is 1/3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation -6x + 12y = 6?

Back

The slope of the line is 1/2.

Tags

CCSS.8.EE.B.5

Front

Convert the equation 3x + 5 = 9y to slope-intercept form.

Back

The slope-intercept form is y = (1/3)x + (5/9).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the coefficients A and B in the standard form of a linear equation?

Back

The coefficients A and B determine the slope and the direction of the line; A affects the x-coefficient and B affects the y-coefficient.

Front

What does it mean if the slope of a line is positive?

Back

If the slope of a line is positive, it means that as x increases, y also increases, indicating an upward trend.

Tags

CCSS.8.EE.B.5