Writing Equations of Lines (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

In the equation y = -1/3x + 1, what is the slope?

Back

The slope is -1/3.

Front

In the equation y = -1/3x + 1, what is the y-intercept?

Back

The y-intercept is 1.

Front

What does 'm' represent in the slope-intercept form y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form y = mx + b?

Back

'b' represents the y-intercept of the line.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 1/2, what is the rise over run?

Back

The rise over run is 1 (rise) over 2 (run).

Front

What is the equation of a line with a slope of -4 and a y-intercept of 2?

Back

The equation of the line is y = -4x + 2.

Front

Given a slope of 2/3 and a y-intercept of -3, write the equation of the line.

Back

The equation of the line is y = 2/3x - 3.

Front

How can you determine the y-intercept from a linear equation?

Back

The y-intercept can be determined by identifying the value of 'b' in the slope-intercept form y = mx + b.