Question

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

Answer 1

Answer:

(c) 5x - 3y = 11

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

$5x - 3y = 11$