Point Slope Form Practice

Front

What is the point in the equation: y + 2 = 4(x - 8)?

Back

(8, -2)

Front

Which point is on the line y - 2 = 5(x - 1)?

Back

(1, 2)

Front

What is the equation and slope of the line x = 6?

Back

The equation is x = 6 and the slope is undefined.

Tags

CCSS.8.EE.B.5

Front

What is the point-slope form equation of the graph given using the blue point in the equation?

Back

y + 2 = (3/2)(x + 2)

Front

Write the equation in point-slope form for the line that contains the points (3, -5) and a slope of 2.

Back

y + 5 = 2(x - 3)

Front

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

Back

The point-slope form 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 convert the point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx - mx1 + y1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope represent in a linear equation?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

The point (x1, y1) is a specific point on the line that helps define its position.

Front

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

Back

Substitute the x-coordinate of the point into the line's equation and check if the resulting y-coordinate matches.

Tags

CCSS.HSF.IF.A.1