5 5 standard form

Asked by maham237 @ 01/01/2021 in Mathematics viewed by 293 People

Find the equation in standard form of the line passing through the points (3,-4) and (5,1)

Answered by maham237 @ 01/01/2021

Answer:

5x-2y=23

Step-by-step explanation:

The line is passing through the points (3,-4) and (5,1).

Thus, we have

$x_1=3,y_1=-4,x_2=5,y_2=1$

The slope of the line is given by

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{1+4}{5-3}\\\\m=\frac{5}{2}$

The point slope form of a line is given by

$y-y_1=m(x-x_1)\\\\y+4=\frac{5}{2}(x-3)\\\\y+4=\frac{5}{2}x-\frac{15}{2}\\\\2y+8=5x-15\\\\5x-2y=23$

Thus, the standard form of the line is given by 5x-2y=23

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