Point Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

Given the equation y - 3 = 2(x + 4), what is the slope of the line?

Back

The slope is 2.

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

For the equation y + 1 = -3(x - 5), what is the slope?

Back

The slope is -3.

Front

What point does the line y + 1 = -3(x - 5) pass through?

Back

The line passes through the point (5, -1).

Front

How do you convert a point and slope into point-slope form?

Back

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

Front

What is the slope of the line represented by the equation y + 7 = -1/4(x - 4)?

Back

The slope is -1/4.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

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.