Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
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