Solving for "y"

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 isolate 'y' in the equation 2x + 2y = 6?

Back

To isolate 'y', subtract 2x from both sides and then divide by 2: y = -x + 3.

Front

What does it mean to solve for 'y' in an equation?

Back

Solving for 'y' means to express 'y' in terms of other variables or constants in the equation.

Front

What is the first step to convert the equation -10x + 2y = 14 into slope-intercept form?

Back

The first step is to add 10x to both sides: 2y = 10x + 14.

Front

What is the value of 'h' in the equation 7 - \frac{3}{8}h = -8?

Back

To solve for 'h', first isolate it: h = 40.

Front

What is the y-intercept in the equation y = -3x + 12?

Back

The y-intercept is 12, which is the value of 'y' when 'x' is 0.

Front

How do you find the slope from the equation y = 5x + 7?

Back

The slope is the coefficient of 'x', which is 5.

Front

What is the process to rearrange the equation 3x + y = 12 to solve for 'y'?

Back

Subtract 3x from both sides: y = -3x + 12.

Front

What does the term 'slope' represent in a linear equation?

Back

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

Front

How can you check if your solution for 'y' is correct?

Back

Substitute the value of 'y' back into the original equation to see if both sides are equal.