Point-Slope Formula

Front

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

Back

y - y₁ = m(x - x₁)

Front

What does 'm' represent in the point-slope formula?

Back

The slope of the line.

Front

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

Back

Isolate y to get y = mx + b.

Front

Given the point (2, 3) and slope m = 4, write the equation in point-slope form.

Back

y - 3 = 4(x - 2)

Front

What is the slope-intercept form of the equation with slope m = -2 and y-intercept b = 5?

Back

y = -2x + 5

Front

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

Back

y - 2 = 3(x - 1)

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

3

Front

How do you find the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

m = (y₂ - y₁) / (x₂ - x₁)