Q7. - Algebra 1

Question

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.

The slope of the line $y=5$ is 5.

Step-by-Step Solution

Answer

False. The slope of the line $y=5$ is 0.

Step 1. State the equation of a straight line.

The standard form of a straight line is given by, $y=mx+c$, where, m is the slope of the line and c is the y-intercept. If the value of m is zero. Then, the line is parallel to the x-axis. 

Step 2. Find the slope and y -intercept.

Compare the given equation with the standard form of the equation of a straight line. The values are,

$m=0$ and $c=5$.

 

It means the line is parallel to the x-axis crossing y-axis at 5.

Step 3. Conclusion.

It is false because a slope of 5 would be very steep, and $y=5$ is a horizontal line and y is the dependent variable, it’s the vertical position of the point when an equation is graphed and m is the slope, it describes the steepness of the line. So, the slope of the line $y=5$ is 0.