Question

The line y=4/5x+2 passes through (1,2). Express a line parallel to it with an equation.

Transformations of functions
ANSWERED
asked 2021-09-09
The line \(\displaystyle{y}=\frac{{4}}{{5}}{x}+{2}\) passes through (1,2)
Express a line parallel to it with an equation.

Expert Answers (1)

2021-09-10

\(y=mx+b\)
The lines are parallel when their m (slope) is the same.
\(\displaystyle{m}=\frac{{4}}{{5}}\)
Find b by substituting \(\displaystyle{m}=\frac{4}{{5}}\) and \((1,2)\):
\(\displaystyle{2}=\frac{{4}}{{5}}{\left({1}\right)}+{b}\)
\(\displaystyle{2}=\frac{{4}}{{5}}+{b}\)
\(\displaystyle{b}=\frac{{6}}{{5}}\)
Thus, the expression is:
\(\displaystyle{y}=\frac{{4}}{{5}}{x}+\frac{{6}}{{5}}\)

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