Creating Linear Equations

Front

Convert 9x - 3y = 12 from standard to slope-intercept form.

Back

y = 3x - 4

Front

Convert y = 2x - 6 from slope-intercept to standard form.

Back

2x - y = 6

Front

Convert y - 5 = -2(x - 6) from point-slope to standard form.

Back

2x + y = 17

Front

Find the point-slope form of the equation that has a slope of 2 and passes through (4,5).

Back

y - 5 = 2(x - 4)

Front

Find the slope-intercept form of the equation that is parallel to y = 3x - 5 and passes through (2,-4).

Back

y = 3x - 10

Front

What is the slope-intercept form of a line?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you find 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.