Standard form to slope intercept

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

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = (5/3)x - 4.

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

Determine the slope and y-intercept from the equation 4x + y = -10.

Back

Slope: -4, Y-intercept: (0, -10).

Front

What is the standard form of a linear equation?

Back

The standard form is given by Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Identify the slope from the equation -6x - 2y = 9.

Back

Slope: -3.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is equal to the tangent of the angle (θ) that the line makes with the positive x-axis.