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 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 point-slope equation?

Back

In the equation y - y1 = m(x - x1), the slope is represented by the variable m.

Tags

CCSS.8.EE.B.5

Front

What does the ordered pair (x1, y1) represent in the point-slope form?

Back

The ordered pair (x1, y1) represents a specific point on the line.

Front

If a line has a slope of -3 and passes through the point (-2, -1), what is the point-slope equation?

Back

y + 1 = -3(x + 2) is the point-slope equation for the line.

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

How can you find the point that a line passes through from its point-slope equation?

Back

You can find the point by identifying the values of x1 and y1 in the equation y - y1 = m(x - x1).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises from left to right, while a negative slope falls.

Tags

CCSS.8.EE.B.5

Front

Write the point-slope form of the line with slope 4 that passes through the point (-2, 1).

Back

y - 1 = 4(x + 2) is the point-slope form of the line.

Front

What is the ordered pair for the line represented by y - 3 = 2(x + 4)?

Back

The ordered pair is (-4, 3).

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert, solve for y: y = mx + b, where b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3