Standard Form & Intercepts

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

Rewrite the equation 4y - 3 = 6x + 6 into standard form.

Back

6x - 4y = -9

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercept of the equation 4x - 10y = 20?

Back

Set y = 0 and solve for x: x = 5.

Front

How do you find the y-intercept of the equation 4x - 10y = 20?

Back

Set x = 0 and solve for y: y = -2.

Front

What is the x-intercept of the line represented by the equation 2x + 3y = 6?

Back

(3, 0) is the x-intercept.

Front

What is the y-intercept of the line represented by the equation 2x + 3y = 6?

Back

(0, 2) is the y-intercept.

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

Convert the equation y = 2x + 3 into standard form.

Back

-2x + y = 3.

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.