Matching Linear Equations to Graphs

What does the slope of a line represent?

• The slope of a line represents the distance between two points on the line.

• The slope of a line represents the rate of change of y with respect to x.

• The slope of a line indicates the length of the line segment.

• The slope of a line represents the area under the curve.

Tags

TEKS.MATH.8.4B

What is a linear equation?

• A linear equation is an equation that makes a straight line when graphed.

• A linear equation is an equation that forms a curve when graphed.

• A linear equation is an equation that has no solutions.

• A linear equation is an equation that only contains whole numbers.

Tags

TEKS.MATH.A.3C

How can you graph a linear equation?

• Find the x-intercept and plot it on the x-axis, then use the slope to find another point.

• To graph a linear equation, find the y-intercept (b), plot it on the y-axis, then use the slope (m) to find another point by rising and running from the y-intercept.

• Plot any two random points on the graph and connect them with a line.

• Use the quadratic formula to find the roots and plot them.

Tags

TEKS.MATH.A.3C

What does it mean for two lines to be parallel?

• They intersect at a single point.

• They have different slopes and y-intercepts.

• They have the same slope but different y-intercepts. They will never intersect.

• They are perpendicular to each other.

Tags

TEKS.MATH.8.5I

TEKS.MATH.A.2B

What does it mean for two lines to be perpendicular?

• Two lines are perpendicular if the product of their slopes is -1.

• Two lines are perpendicular if they intersect at a 90-degree angle.

• Two lines are perpendicular if they have the same slope.

• Two lines are perpendicular if they are parallel to each other.

Tags

TEKS.MATH.4.6A

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are integers, and A should be non-negative.

• y = mx + b, where m is the slope and b is the y-intercept.

• Ax^2 + Bx + C = 0, which is the standard form of a quadratic equation.

• y = A sin(Bx + C), which is the standard form of a sinusoidal function.

Tags

TEKS.MATH.A.2B

How can you determine if a line is increasing or decreasing?

• A line is increasing if it has a negative slope (m < 0) and decreasing if it has a positive slope (m > 0).

• A line is increasing if it has a slope of zero (m = 0) and decreasing if it has a positive slope (m > 0).

• A line is increasing if it has a positive slope (m > 0) and decreasing if it has a negative slope (m < 0).

• A line is increasing if it is horizontal and decreasing if it is vertical.

Tags

TEKS.MATH.8.4B

What does a negative slope indicate about a line?

• A negative slope indicates that as x increases, y decreases. The line goes downwards from left to right.

• A negative slope indicates that as x increases, y increases. The line goes upwards from left to right.

• A negative slope indicates that there is no change in y as x increases. The line is horizontal.

• A negative slope indicates that y is always zero regardless of the value of x. The line is vertical.

Tags

TEKS.MATH.8.4B

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

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + bx + c, a quadratic equation.

• y = mx + c, where m is the slope and c is the y-intercept.

• y = b/x + m, an inverse relationship.

Tags

TEKS.MATH.8.5A

TEKS.MATH.8.5B

TEKS.MATH.8.5I

What is the relationship between the slope and the steepness of a line?

• The greater the absolute value of the slope, the steeper the line.

• A slope of 1 means the line is horizontal.

• A slope of -1 means the line is vertical.

• The slope has no effect on the steepness of the line.

Tags

TEKS.MATH.8.4B