8th Grade Conn RE-Take FLASHCARD 12/6

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

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

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 first step in solving the equation 5x + 7 = 12?

Back

The first step is to subtract 7 from both sides of the equation.

Front

What are the coordinates of the point when y - 4 = -1/3(x - 7)?

Back

The coordinates are (7, 4).

Front

How do you convert the equation y = 2x - 3 into standard form?

Back

To convert to standard form, rearrange to get 2x - y = 3.

Front

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

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

What is the slope of the line that passes through the points (-4, 7) and (-6, -4)?

Back

The slope is 11/2.

Front

What does a negative slope indicate about a line?

Back

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

Front

How do you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and using the rise over run method.