Review 3 forms of a linear equation

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

Write the equation in point-slope form for the point (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4)

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.

Front

What is the slope in the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the standard form of a linear equation?

Back

The standard form is given by the equation Ax + By = C, where A, B, and C are integers.

Front

Write the equation of the line in slope-intercept form that goes through the points (3,-1) and (2,-4).

Back

y = 3x - 10

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.