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

Tags

CCSS.8.EE.B.5

Front

Given the point (4, -7) and slope m = -1/4, write the equation in point-slope form.

Back

y + 7 = -1/4(x - 4)

Front

What does the point (3, 4) represent in the equation y - 4 = 1/5(x - 3)?

Back

The point (3, 4) is a point on the line represented by the equation.

Front

For the equation y - 3 = 2(x + 4), what ordered pair does the line pass through?

Back

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

Front

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

Back

y + 1 = -3(x + 2)

Front

What is the significance of the point in a point-slope equation?

Back

The point (x₁, y₁) in the point-slope equation indicates a specific location on the line.

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the equation y - 4 = -3/5(x - 4), what is the slope?

Back

The slope is -3/5.

Tags

CCSS.8.EE.B.5

Front

What is the general process for writing an equation in point-slope form?

Back

Identify a point on the line and the slope, then use the formula y - y₁ = m(x - x₁).