5.6 Graph Using Slope Intercept Form

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

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = -rac{2}{3}x + 4?

Back

The slope is -rac{2}{3}.

Front

What is the y-intercept of the line represented by the equation y = 3x - 5?

Back

The y-intercept is -5.

Front

If the slope of a line is 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of the line given by the equation y = -x + 2?

Back

The slope is -1.

Front

If a line has a slope of rac{1}{2}, what is the rise over run?

Back

The rise is 1 and the run is 2.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 1?

Back

The equation is y = 3x + 1.