Answer
The given statement is false and the correct statement is “Every line cannot be expressed in the slope–intercept form.”
Work Step by Step
The slope–intercept form of the line is given as below:
\[y=mx+c\]
A line having an undefined slope cannot be expressed in this form of the equation because neither the slope is defined, nor does the line cut the y-axis.
So, every line cannot be expressed in the slope–intercept form.
Example:
\[x=5\]cannot be expressed in the slope–intercept form because its slope is not defined.
Hence, the given statement is false and the correct statement is “Every line cannot be expressed in the slope–intercept form.”
