All About Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, represented as 'm' in the equation y = mx + b.

Front

How do you calculate the slope 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 of a line (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 7/5, what does this indicate about the line's direction?

Back

A slope of 7/5 indicates that for every 5 units moved horizontally to the right, the line moves up 7 units.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

How do you find the y-intercept of a line given a point and the slope?

Back

Use the formula y = mx + b, substituting the x and y values of the point and the slope to solve for b.

Front

Write the slope-intercept form of a line with a slope of -3 and a y-intercept of 2.

Back

The equation is y = -3x + 2.

Front

What is the slope of the line represented by the equation y = 4x + 6?

Back

The slope is 4.

Front

How do you convert the point-slope form of a line to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + b.