Algebra 1 Chapter 3

Front

What happens to the graph of y = f(x) when we write y = f(x) - 5?

Back

The graph of y = f(x) is shifted down 5 units.

Front

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

Back

y = -3x - 3

Front

Convert the equation 1/2x + 3y = 6 into standard form.

Back

x + 6y = 12

Front

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

Back

2

Front

Find the slope of the line represented by the equation y = 1/2x + 3.

Back

1/2

Front

What is the definition of slope in a linear equation?

Back

Slope is the measure of the steepness of a line, calculated as the rise over run.

Front

What does it mean for a line to be in standard form?

Back

A linear equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line y = -1/3x - 1?

Back

The y-intercept is -1.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

The line is decreasing as it moves from left to right.