Unit 3 Algebra retest

Front

What is the rate of change in a linear equation?

Back

The rate of change in a linear equation represents how much the dependent variable (y) changes for a unit change in the independent variable (x). It is often referred to as the slope of the line.

Front

How do you find the slope (m) and y-intercept (b) of a linear equation?

Back

Front

Write the equation of a line given the slope and y-intercept: m = 1/2, b = 3.

Back

Front

What does the equation 7x + 12y = 82 represent in a word problem?

Back

The equation represents a linear relationship between two variables, x and y, where 7 times the value of x plus 12 times the value of y equals 82.

Front

How do you solve for y in the equation 8x + 4y = 16?

Back

To solve for y, isolate y on one side: 4y = 16 - 8x, then divide by 4: y = -2x + 4.

Front

What is the slope of a line if the equation is y = 4x + 1?

Back

The slope of the line is 4.

Front

Define slope in the context of a graph.

Back

Slope is a measure of the steepness or incline of a line on a graph, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line descends from left to right.

Front

What is the y-intercept of the equation y = -3x + 5?

Back

The y-intercept is 5, which is the point where the line crosses the y-axis.