Algebra 1 4.1 Apply Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is represented by the coefficient m in the equation y = mx + b.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

If a line has a slope of 4/5, what does this indicate about the line's steepness?

Back

A slope of 4/5 indicates that for every 5 units moved horizontally to the right, the line rises 4 units vertically, showing a positive slope.

Front

How would you write the equation of a line with a slope of -2 and a y-intercept of 3?

Back

The equation would be y = -2x + 3.

Front

What is the slope of the line represented by the equation y = -4x?

Back

The slope of the line is -4.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) over the run (change in x) between those points.

Front

What is the equation of a line with a slope of 3/4 and a y-intercept of -4?

Back

The equation is y = 3/4x - 4.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall as x changes.

Front

What does a negative slope indicate about the direction of a line?

Back

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