Point-Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

What does 'm' represent in the point-slope form?

Back

The slope of the line.

Front

If a line has a slope of -3 and passes through the point (5, -1), what is the point-slope form of the equation?

Back

y + 1 = -3(x - 5)

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

2

Front

How do you identify a point on a line given in point-slope form?

Back

Substitute the x-value into the equation to find the corresponding y-value.

Front

What is the first step to convert point-slope form to slope-intercept form?

Back

Distribute the slope (m) and simplify the equation.

Front

For the equation y - 4 = -1/3(x - 7), what are the coordinates of the point used in the equation?

Back

(7, 4)

Front

How do you write the equation of a line in point-slope form given a point and a slope?

Back

Use the formula y - y₁ = m(x - x₁) with the given point (x₁, y₁) and slope m.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 2)?

Back

-3

Front

If a line has a slope of 1 and passes through the point (3, -4), what is the point-slope form of the equation?

Back

y + 4 = 1(x - 3)