Solving For Y

Front

What is the process of solving for y in an equation?

Back

The process involves isolating the variable y on one side of the equation, typically by using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side by itself, making it easier to solve for that variable.

Front

Given the equation 3x + y = 12, solve for y.

Back

y = -3x + 12

Front

Given the equation y - 4x = 8, solve for y.

Back

y = 4x + 8

Front

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

Back

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

Front

Given the equation -10x + 2y = 14, solve for y.

Back

y = 5x + 7

Front

What is the y-intercept of the equation y = 1x + 1?

Back

The y-intercept is 1, which is the point where the line crosses the y-axis.

Front

Given the equation 3y - 9 = 18x, solve for y.

Back

y = 6x + 3

Front

What is the standard form of a linear equation?

Back

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

Front

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

Back

To convert, solve for y in terms of x, rearranging the equation to the form y = mx + b.