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 inverse operations on both sides.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is alone on one side, making it easier to solve for its value.

Front

Given the equation 10x - 2y = 6, how do you isolate y?

Back

Add 2y to both sides and then subtract 6 from both sides to get 2y = 10x - 6, then divide by 2 to find y.

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 do you convert the equation 8x + 4y = 16 into slope-intercept form?

Back

Subtract 8x from both sides to get 4y = -8x + 16, then divide by 4 to get y = -2x + 4.

Front

What is the y-intercept in the equation y = -2x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How do you solve for y in the equation 2x + y = 41?

Back

Subtract 2x from both sides to get y = -2x + 41.

Front

What does the term 'linear equation' refer to?

Back

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

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope of the line; a larger coefficient means a steeper slope.

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.