11.19.24 8 Standard Form to Slope-Intercept Form

Front

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

Back

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

Front

How do you convert the equation 5x - 3y = -9 to slope-intercept form?

Back

To convert 5x - 3y = -9 to slope-intercept form, isolate y: 3y = 5x + 9, then y = (5/3)x + 3.

Front

What does 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How can you identify the slope from the equation y = (5/3)x + 3?

Back

The slope can be identified as 5/3 from the equation y = (5/3)x + 3.

Front

How can you identify the y-intercept from the equation y = (5/3)x + 3?

Back

The y-intercept can be identified as 3 from the equation y = (5/3)x + 3.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

To convert -3y + 5x = 12 to slope-intercept form, isolate y: 3y = 5x - 12, then y = (5/3)x - 4.

Front

What is the first step in converting an equation to slope-intercept form?

Back

The first step in converting an equation to slope-intercept form is to isolate the term with y on one side of the equation.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

If the slope of a line is negative, it indicates that the line descends from left to right.

Front

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

Back

The y-intercept is significant because it indicates the point where the line crosses the y-axis, showing the value of y when x = 0.