Writing Equations Given Slope & y-intercept

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

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, '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

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope of the line is 3/4.

Front

If a line has a slope of -2 and a y-intercept of 5, what is the equation of the line?

Back

The equation of the line is y = -2x + 5.

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 4?

Back

The y-intercept of the line is -4.

Front

How can you determine the equation of a line if you know the slope and y-intercept?

Back

You can determine the equation of the line by using the slope-intercept form: y = mx + b, substituting the known values for m and b.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope of the line is 3.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

If the slope of a line is 0, it indicates that the line is horizontal.