Answer:
[tex]y=6x-27[/tex]
Step-by-step explanation:
we have the points
(5,3) and (4,-3)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{-3-3}{4-5}[/tex]
[tex]m=\frac{-6}{-1}[/tex]
[tex]m=6[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=6[/tex]
[tex]point\ (5,3)[/tex]
substitute
[tex]y-3=6(x-5)[/tex]
step 3
Convert the equation in slope intercept form
isolate the variable y
[tex]y-3=6x-30[/tex]
[tex]y=6x-30+3[/tex]
[tex]y=6x-27[/tex]
