Standard Form to Slope Intercept

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you isolate y in the equation 2x + 4y = 8?

Back

To isolate y, subtract 2x from both sides to get 4y = -2x + 8, then divide each term by 4.

Front

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

Back

The first step is to add x to both sides, resulting in 2y = x - 10.

Front

What does the slope of a line represent in a graph?

Back

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

Front

What is the y-intercept in the equation y = (1/2)x - 5?

Back

The y-intercept is -5, which is the point where the line crosses the y-axis.

Front

How do you find the slope from the equation y = (2/3)x + 3?

Back

The slope is the coefficient of x, which is 2/3.

Front

What is the significance of converting an equation to slope-intercept form?

Back

Converting to slope-intercept form makes it easier to graph the equation and understand the relationship between x and y.

Front

What is the final step after isolating y in the equation -3y = -2x - 9?

Back

The final step is to divide each term by -3 to solve for y.

Front

How can you determine the graph of the equation y = (1/2)x - 5?

Back

You can plot the y-intercept at (0, -5) and use the slope of 1/2 to find another point, then draw the line.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.