y=mx + b from a graph

Front

What does the equation y=mx+b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y=1/2x?

Back

The slope (m) is 1/2.

Front

What is the y-intercept in the equation y=-3/4x-3?

Back

The y-intercept (b) is -3.

Front

How do you identify the slope from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

If a line crosses the y-axis at (0, 2), what is the y-intercept?

Back

The y-intercept (b) is 2.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -1?

Back

The equation is y=3x-1.

Front

How can you find the equation of a line given two points?

Back

Use the slope formula to find m, then use one point to solve for b in y=mx+b.

Front

What is the slope of the line represented by the equation y=-2x+5?

Back

The slope (m) is -2.