Point Slope & Standard Form

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 is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

Solve for y in the equation y - y₁ = m(x - x₁) to get y = mx + b.

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 = 4x + 3?

Back

The slope is 4.

Front

Given the equation y - 5 = 7(x + 3), what is the slope?

Back

The slope is 7.

Front

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

Back

The y-intercept is the value of y when x = 0, represented by b in y = mx + b.

Front

What is the y-intercept of the equation y = -1x + 3?

Back

The y-intercept is 3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.