Question

If the points (1,3) (-3,-4) and (k, 3k-5) are collinear then what is/what are the value(s) of k?

Answer 1

First find the slope.

Answer 2

Then find the intercept.

Answer 3

Then post your equation.

Answer 4

y=(7/4)x+1.25

Answer 5

I already found one value, k=5 but I was wondering if there were any other values since the question was stated the way it was

Answer 6

You are right. k = 5.
And all points on (x, (7/4)x+1.25) are on the line.
if we include (k, 3k-5) as possible points, we have a system of equations in two variables.

if k = x, then 3k-5 should = (7/4)x+1.25
sub in k for x on the right hand side
3k-5 = (7/4)k + 1.25

now we have one equation with one variable. That means there is only one value for k
k=5

Answer 7

I totally agree, thank you so much(:

Answer 8

Happy to help :-)
Study hard!