Point-Slope Form 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 - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

Identify the slope in the equation y - 3 = 2(x + 4).

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

How do you convert the equation y - 2 = -6(x + 6) to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = -6x - 36 + 2, which simplifies to y = -6x - 34.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the equation y - 2 = -6(x + 6)?

Back

The slope is -6.

Tags

CCSS.8.EE.B.5

Front

Write the point-slope form of the line that passes through (-2, -1) with a slope of -3.

Back

The equation is y + 1 = -3(x + 2).

Front

Given two points (1, 4) and (-2, -3), how can you write the equation in point-slope form?

Back

Front

What point is used in the equation y + 6 = 10(x - 9)?

Back

The point used is (9, -6).

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

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = (y_2 - y_1) / (x_2 - x_1).

Tags

CCSS.8.EE.B.5