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 equation y - y₁ = m(x - x₁)?

Back

Slope

Front

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

Back

Isolate y to get y = mx + b.

Front

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁) = (7 - 3) / (4 - 2) = 2.

Front

What is the slope-intercept form of the equation with a slope of -2 and y-intercept of 5?

Back

y = -2x + 5

Front

Write the equation of a line in point-slope form that passes through (1, 2) with a slope of 3.

Back

y - 2 = 3(x - 1)

Front

What is the y-intercept of the line represented by the equation y = 4x - 1?

Back

-1

Front

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

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.

Front

What is the equation of a horizontal line that passes through the point (3, 4)?

Back

y = 4