Mathematics: Find the equation of the line passing through (4, 3) and (-2, -7): a. 3x + 5y = 27 b. 3x - 5y = -3 c. 5x - 3y = 11 d. 2x - y = 5

Find the equation of the line passing through (4,

kenziepickup

13.03.2022

Step-by-step explanation:

using slope intercept form

we know equation of line is

y= mx+c........(1)

where m is slope which can be written as $\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-7-3}{-2-4} =\frac{-10}{-6} =\frac{5}{3}$

substituting value in equation (1)

$y=\frac{5}{3} x+c$

now inserting value of point (4,3)

$3=\frac{5}{3}\times 4+c$

$c=\frac{-11}{3}$

$y=\frac{5}{3} \times x-\frac{11}{3}\\$

on solving we get

5x - 3y = 11

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