Point Slope Practice

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 that passes through (4, -7) with a slope of -1/4?

Back

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

Front

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

Back

(-4, 3)

Front

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

Back

2

Front

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

Back

y = mx + b

Front

If a line has a slope of 3 and passes through the point (2, 5), what is the point-slope form of the equation?

Back

y - 5 = 3(x - 2)

Front

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

Back

The slope of the line.

Front

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

Back

Isolate y to get y = mx + b.

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

If the slope of a line is -2 and it passes through (1, 3), what is the equation in point-slope form?

Back

y - 3 = -2(x - 1)