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 expressed as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert 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 in terms of x.

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 (m) represent in a linear equation?

Back

The slope (m) 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

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

Convert the equation 4x - 3y = 15 to slope-intercept form.

Back

y = (4/3)x - 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation 3x - 2y = 0 to slope-intercept form.

Back

y = (3/2)x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step in converting an equation from standard form to slope-intercept form?

Back

The first step is to isolate the term with y on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the equation is given as 2x + 5y = 10, what is the slope when converted to slope-intercept form?

Back

The slope is -2/5.

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 Ax + By = C?

Back

A and B determine the slope of the line when converted to slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3