Point-Slope Form

Front

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

Back

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

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

Back

The slope of the line 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

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

The point-slope form of the equation is y - 5 = 3(x - 2).

Front

What is the slope of the line represented by the equation y - 5 = 3(x + 2)?

Back

The slope of the line is 3.

Front

What point is on the line described by the equation y - 5 = 3(x + 2)?

Back

The point on the line is (-2, 5).

Front

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

Back

To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the equation in point-slope form for a line that passes through (5, -1) with a slope of 2?

Back

The equation is y + 1 = 2(x - 5).

Front

What is the equation in point-slope form of the line that goes through the point (6, 1) and has a slope of -3?

Back

The equation is y - 1 = -3(x - 6).

Front

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

Back

The variable 'm' represents the slope of the line.