Solution:
we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).
First we will find the slope of the line using the formula
[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]
Plugin the given values we get
[tex] m=\frac{-2-4}{4-7}=\frac{-6}{-3}=2 [/tex]
Now using the point slope form of a straight line
[tex] (y-y_1)=m(x-x_1) [/tex]
Plugin the values
[tex] (y-4)=2(x-7)\\
\\
y=2x-14+4\\
\\
y=2x-10\\ [/tex]
Hence the correct option is a.
