Point Slope Practice

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form 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 the Point-Slope Form 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 equation y - 3 = 2(x + 4), what is the slope?

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

Convert the equation y + 5 = -3(x - 6) into slope-intercept form.

Back

The slope-intercept form is y = -3x + 13.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the equation y - 4 = -1(x + 2)?

Back

The slope is -1.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line in Point-Slope Form given a point and a slope?

Back

Use the formula y - y₁ = m(x - x₁), substituting the point (x₁, y₁) and the slope m.

Front

What is the significance of the point (4, -7) in the equation y + 7 = -1/4(x - 4)?

Back

The point (4, -7) is a point on the line represented by the equation.

Front

If a line has a slope of -1/4, how does it behave in relation to the x-axis?

Back

The line descends from left to right, indicating a negative slope.

Tags

CCSS.8.EE.B.5

Front

What does the term '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