Point Slope Form

Front

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

Back

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

Front

Convert the equation to slope-intercept form: y - 5 = 3(x + 2)

Back

y = 3x + 11

Front

Write the equation in point-slope form for the line that contains the points (3, -5) and (5, -1).

Back

y + 5 = 2(x - 3)

Front

What is the slope of the line given by the equation y + 1 = -3(x - 5)?

Back

-3

Front

Which of these represents point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁)

Front

Convert the equation to slope-intercept form: y + 9 = 3(x - 1)

Back

y = 3x - 12

Front

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

Back

In the point-slope form, 'm' represents the slope of the line.

Front

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

Back

y - 3 = 2(x - 1)

Front

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

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).

Front

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

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.