Solving for "y"

Front

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

Back

To solve for 'y', isolate 'y' on one side of the equation by performing algebraic operations such as addition, subtraction, multiplication, or division.

Front

Given the equation 3x + y = 12, how do you solve for y?

Back

y = -3x + 12

Front

What does it mean to isolate a variable in an equation?

Back

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

Front

In the equation -3x + y = 2, how do you express y in terms of x?

Back

y = 3x - 2

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

How can you convert the equation 2x + y = 41 to solve for y?

Back

y = -2x + 41

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Given the equation x + 2y = 10, how do you solve for y?

Back

y = -1/2x + 5

Front

What does the term 'linear equation' refer to?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

In the equation 5x - y = 16, how do you express y in terms of x?

Back

y = 5x - 16