Point-Slope Form and Standard Form Review

Front

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

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

Convert the equation 3x + 8y = 24 to slope-intercept form.

Back

y = -3/8x + 3.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by m in the equation.

Front

What are the x and y intercepts of the equation 5x - 3y = 15?

Back

x-intercept is 3, y-intercept is -5.

Front

What are the x and y intercepts of the equation 4x - 5y = 40?

Back

x-intercept is 10, y-intercept is -8.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Distribute the slope and rearrange the equation to isolate y.

Front

What does the term 'slope' represent in a linear equation?

Back

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