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

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

Back

To convert, solve for y: y - y₁ = m(x - x₁) becomes y = mx - mx₁ + y₁.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

The slope (m) is 2.

Front

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

Back

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

Front

What is slope-intercept form?

Back

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

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0 in the equation y = mx + b.

Front

What is the y-intercept of the equation y = -1/4x - 6?

Back

The y-intercept is -6.

Front

What is the slope of the line represented by the equation y = 5/4x + 2?

Back

The slope (m) is 5/4.

Front

How do you write an equation in slope-intercept form from a point and a slope?

Back

Use the formula y - y₁ = m(x - x₁) and solve for y to get it in the form y = mx + b.