(MCA) 4.3 (Practice) Graphing and Writing linear equations.

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 identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 3x + 0?

Back

The slope is 3.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by finding the rise over run between two points on the line.

Front

What is the equation of a line with a slope of -2/3 that passes through the point (0, -2)?

Back

The equation is y = -2/3 x - 2.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends steeply from left to right.

Front

What is the graphical representation of the equation y = -1/2 x - 2?

Back

The graph is a straight line that slopes downwards, crossing the y-axis at -2.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x, rearranging the equation to the form y = mx + b.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.