Point-Slope Form and Standard Form Review

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

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

Back

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

Front

Convert the point-slope form to slope-intercept form: y - 2 = 3(x + 1)

Back

y = 3x + 5.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.

Front

Write the equation of a line with a slope of -2 that passes through the point (3, 4).

Back

y - 4 = -2(x - 3) or y = -2x + 10.

Front

What is the x-intercept of the equation 5x - 3y = 15?

Back

x-intercept is 3.