Converting Linear Equations

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert an equation to slope-intercept form?

Back

To convert to slope-intercept form, isolate y on one side of the equation.

Front

What is the first step to solve for y in the equation 2x + 4y = 8?

Back

Subtract 2x from each side.

Front

What is standard form of a linear equation?

Back

Standard form is written as Ax + By = C, where A, B, and C are integers and A should be non-negative.

Front

How do you convert -4x + 8y = 10 to standard form?

Back

Rearrange to get 2x - 4y = -5.

Front

What is point-slope form of a linear equation?

Back

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

Front

Write the equation of the line in point-slope form that goes through the point (10,5) and has a slope of -3.

Back

y - 5 = -3(x - 10).

Front

What is the final step to solve for y after obtaining 4y = -2x + 8?

Back

Divide each term by 4.

Front

Convert the equation y + 1 = -3(x - 5) to slope-intercept form.

Back

y = -3x + 14.

Front

What does the slope of a line represent?

Back

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