Writing Point Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

How do you write the equation in point-slope form for a line with slope m passing through point (x₁, y₁)?

Back

y - y₁ = m(x - x₁)

Front

Given the point (6, 1) and slope -3, write the equation in point-slope form.

Back

y - 1 = -3(x - 6)

Front

What is the slope of a line that passes through the points (2, 4) and (6, 12)?

Back

2

Front

Write the equation in point-slope form for the line that passes through (-1, 2) with slope 7.

Back

y - 2 = 7(x + 1)

Front

What does 'm' represent in the point-slope form of a linear equation?

Back

The slope of the line.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

What is the significance of the point (x₁, y₁) in the point-slope form?

Back

It is a specific point that the line passes through.

Front

How can you convert point-slope form to slope-intercept form?

Back

Isolate y to get y = mx + b.

Front

What is the slope of the line represented by the equation y - 3 = 4(x - 2)?

Back

4