Point slope and standard form - kaplan

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

How do you find the x-intercept of the equation 5x - 3y = 15?

Back

Set y = 0: 5x = 15, so x = 3.

Front

How do you find the y-intercept of the equation 5x - 3y = 15?

Back

Set x = 0: -3y = 15, so y = -5.

Front

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

Back

y = 3x.

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The point is (-4, 3).

Front

For the equation y + 1 = -3(x - 5), what is the slope?

Back

The slope is -3.

Front

What does the standard form of a linear equation look like?

Back

Ax + By = C, where A, B, and C are constants.

Front

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

Back

Distribute and solve for y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.