Question

A line is represented by the equation y-5=6 (x+1/2). Does the statement describe the line? Select Yes or No for each statement.

Answer 1

Use the point slope of line equation y=mx+c to calculate the slope of the line.

`\begin{gathered} y-5=6(x+(1)/(2)) \\ y-5=6x+3 \\ y=6x+8 \end{gathered}`

Here, the slope is 6 not -6.

Check whether the point (-1/2,5) is on the line.

`\begin{gathered} 5=6(-(1)/(2))+8 \\ 5=-3+8 \\ 5=5 \end{gathered}`

Therefore, the point (-1/2,5) is on the line.

Compare the equation of the line y=6x+8 to that of y=mx+c implies,

c=8.

Here, the y intersept is 8 not 3.