Point-Slope Form Practice

Front

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

Back

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

Front

How do you find the slope (m) between two points?

Back

The slope (m) between two points (x₁, y₁) and (x₂, y₂) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).

Front

Given the points (-2, -3) and (4, 3), what is the slope of the line?

Back

The slope (m) is calculated as m = (3 - (-3)) / (4 - (-2)) = 6 / 6 = 1.

Front

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

Back

The point-slope form is: y + 3 = 1(x + 2).

Front

What is the equation of a line in point-slope form with a slope of -12 and passing through (-4, -5)?

Back

The equation is: y + 5 = -12(x + 4).

Front

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

Back

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

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Given a slope of ⅔ and a point (-4, 7), write the equation in point-slope form.

Back

The equation is: y - 7 = ⅔(x + 4).

Front

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

Back

The point-slope form is: y + 1 = -3(x + 2).