Answer:
2x - y - 7 = 0
Step-by-step explanation:
Given line is passing through the points (-2, 1) & (4, 4)
Slope of given line [tex] =\frac{-2-4}{1-4}=\frac{-6}{-3}= 2[/tex]
Since, required line is || to given line.
Parallel lines have same slope.
Therefore, slope of required line m = 2
Since, required line is passing through the points [tex] (2, \: - 3)=(x_1,\:y_1) [/tex]
Equation of line in slope point form is given as:
[tex] y - y_1 = m(x-x_1) \\
\therefore y - (-3) = 2(x - 2)\\
\therefore y +3=2x - 4\\
\therefore y = 2x - 4-3\\
\therefore y = 2x - 7\\
\huge \purple {\boxed {\therefore 2x - y - 7 = 0}} \\[/tex]
is the equation of the required line.
