Point Slope and Slope Intercept Forms

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the line.

Front

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

Back

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

Front

How do you find the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is the value of y when x = 0, which is 5.

Front

Write the equation of a line with a slope of 4 and a y-intercept of 3 in slope-intercept form.

Back

y = 4x + 3.

Front

What is the y-intercept in the equation y = 3x - 7?

Back

The y-intercept is -7.

Front

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

Back

Rearrange y - y₁ = m(x - x₁) to solve for y.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Front

If a line passes through the point (2, 3) and has a slope of 5, what is its equation in point-slope form?

Back

y - 3 = 5(x - 2).

Front

What is the general form of a linear equation?

Back

Ax + By = C where A, B, and C are constants.