Writing Linear Equations

Front

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

Back

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

Front

Convert the equation 5x - 2y = 12 to slope-intercept form.

Back

y = 5/2x - 6.

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, and A should be non-negative.

Front

Convert the equation y = 1/4x + 4 to standard form.

Back

x - 4y = -16.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Write the equation of the line that passes through the point (4, -2) with a slope of -1/2 in slope-intercept form.

Back

y = -1/2x + 2.

Front

What is point-slope form of a linear equation?

Back

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

Front

Write the equation of the line in point-slope form that passes through (5, 2) with a slope of 3.

Back

y - 2 = 3(x - 5).

Front

Identify which of the following is in standard form: 5x + 7y = -12 or y = 3x - 5.

Back

5x + 7y = -12 is in standard form.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3.