Question

A line with a slope of -3 and an x-intercept of 15 passes through which following points?

Answer 1

Let's first write down all the information given in y = mx + b form. Notice that x-intercept means that y = 0 at that point. b is not given, so:

$0 = -3(15) + b$

Let's solve for b:

$0 = -45+b$

$b = 45$

Now we have the equation:

$y = -3x + 45$

We can plug in every option given to see which choice makes it true:

(0, 30)

$30 = -3(0) + 45$

$30 \neq 45$

(5, 15)

$15 = -3(5) + 45$$15 = -15+45$

$15\neq 30$

(10, 10)

$10 = -3(10) + 45$

$10 \neq 15$

(-5, 60)

$60 = -3(-5) + 45$

$60 = 60$

Therefore, choice D or (-5, 60) is your answer. Hope I could help! :)

*There is probably an easier way to solve this, I just didn't see it when I attacked the problem! :)