Standard form/slope-intercept form

Front

What is the slope of a line in the equation 12x - 6y = 30?

Back

The slope is 2.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 1?

Back

The equation is y = 2x + 1.

Front

How do you solve for y in the equation 5x - y = 6?

Back

You rearrange it to y = 5x - 6.

Front

What is the first step to convert the equation 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = 1/2x + 3?

Back

The y-intercept is 3.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you convert the slope-intercept form to standard form?

Back

Rearrange the equation to the form Ax + By = C.