Question

The equation of a line has a y-intercept of 2 and a slope of 1/2. Which of the following is not true about the line?

Answer 1

Question:

The equation of a line has a y-intercept of 2 and a slope of 1/2. Which of the following is not true about the line?​

Concept:

The general equation of a line in slope-intercept form is given below as

`\begin{gathered} y=mx+c \\ m=slope=(1)/(2) \\ c=y-intercept=2 \end{gathered}`

By substituting the values, we will have that the equation of the line will be

`\begin{gathered} y=mx+c \\ y=(1)/(2)x+2 \end{gathered}`

Hence,

The equation of the line in slope intercept form is y=1/2x+2 (TRUE)

Step 2:

To figure out if the point (4,6) lies on the line, we will substitute the value of x=4 to get the value of y=6

`\begin{gathered} y=(1)/(2)x+2,x=4 \\ y=(1)/(2)(4)+2 \\ y=2+2 \\ y=4 \end{gathered}`

Step 3:

To figure out if the point (20,12) lies on the line, we wil substitute the value of x=20 to get the value of y =12

`\begin{gathered} y=(1)/(2)x+2,x=20 \\ y=(1)/(2)(20)+2 \\ y=10+2 \\ y=12 \end{gathered}`

Step 4:

The graph of the function is given below as

From the image above, we can see that the line will never pass through quadrant 4

Hence,

The final answer is

The point (4,6) is on the line (not true)