Point-Slope Formula

Front

What does 'm' represent in the equation y - y₁ = m(x - x₁)?

Back

m represents the slope of the line.

Front

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

Back

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

Front

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

Back

To convert, solve for y to get the form y = mx + b.

Front

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

Back

The slope is 2.

Front

If a line has a slope of -1/2 and passes through the point (2, 5), what is the equation of the line in slope-intercept form?

Back

y = -1/2x + 6.

Front

What is the y-intercept of the line represented by the equation y = 3x - 4?

Back

The y-intercept is -4.

Front

Write the equation of a line with a slope of 3 that passes through the point (-1, 9).

Back

y = 3x + 12.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 1/4, what does this indicate about the line's steepness?

Back

The line rises 1 unit for every 4 units it runs, indicating a gentle slope.