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Answer:
[tex]2y - x = 14[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,3)[/tex]
[tex](x_2,y_2) = (-4,5)[/tex]
Required
The line equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5 - 3}{-4 - (-8)}[/tex]
[tex]m = \frac{2}{4}[/tex]
[tex]m = \frac{1}{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{1}{2}(x - (-8)) +3[/tex]
[tex]y = \frac{1}{2}(x +8) +3[/tex]
Open bracket
[tex]y = \frac{1}{2}x +4 +3[/tex]
[tex]y = \frac{1}{2}x +7[/tex]
Multiply through by 2
[tex]2y = x + 14[/tex]
[tex]2y - x = 14[/tex]