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 [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-7-3}{-2-4} =\frac{-10}{-6} =\frac{5}{3}[/tex]
substituting value in equation (1)
[tex]y=\frac{5}{3} x+c[/tex]
now inserting value of point (4,3)
[tex]3=\frac{5}{3}\times 4+c[/tex]
[tex]c=\frac{-11}{3}[/tex]
[tex]y=\frac{5}{3} \times x-\frac{11}{3}\\[/tex]
on solving we get
[tex]5x - 3y = 11[/tex]
