Point Slope Form / Intercept Form / Standard Form Flashcard

Front

Write an equation in point-slope form for a line with a slope of 3 passing through the point (5, -2).

Back

y + 2 = 3(x - 5)

Front

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

Back

y - 3 = -2(x + 1)

Front

What is the slope of a line parallel to the line with equation y = 4x + 2?

Back

4

Front

Convert the equation 2x - 3y = 6 to slope-intercept form.

Back

y = (2/3)x + 2

Front

What is the slope of a vertical line?

Back

Undefined

Front

Define point-slope form of a linear equation.

Back

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

Front

What is slope-intercept form of a linear equation?

Back

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and never intersect.