Point Slope Practice

Front

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

Back

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

Front

How do you identify the slope from a linear equation in point-slope form?

Back

In the point-slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a point lies on a given line?

Back

To determine if a point (x, y) lies on a line represented by the equation y = mx + b, substitute x into the equation and check if the resulting y equals the y-coordinate of the point.

Front

What is the significance of the coordinates in the point-slope form?

Back

The coordinates (x1, y1) in the point-slope form represent a specific point on the line, which is used to define the line's position.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a line that rises 2 units for every 1 unit it runs?

Back

The slope of such a line is 2, which can be expressed as m = 2.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line descends steeply from left to right, meaning for every 1 unit increase in x, y decreases by 3 units.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope, meaning they never intersect and maintain a constant distance apart.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one line has a slope m, the other line's slope is -1/m.

Tags

CCSS.8.EE.B.6