Slope Intercept and Point Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in y (rise) divided by the change in x (run) between two points on the line.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Convert the point-slope form to slope-intercept form: y - 3 = 2(x - 1).

Back

To convert to slope-intercept form (y = mx + b), distribute and simplify: y = 2x + 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that indicate?

Back

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

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line in point-slope form that passes through (2, 4) with a slope of -3.

Back

y - 4 = -3(x - 2).

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope, meaning they never intersect.

Tags

CCSS.8.EE.B.5