Slope-intercept

Front

What is the slope-intercept form of a line?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The y-intercept is 5.

Front

Write the equation of a line with a slope of -1 and a y-intercept of 2.

Back

The equation is y = -x + 2.

Front

How do you convert the equation y = 4x - 3 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 4 and b = -3.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope is -2.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.