Question

9. Krista and Emily wrote an equation of a line that is parallel to the line y = 3x - 1 and passing

through the point (5,9). Is either of them correct? Explain your reasoning?
Krista:
9 = 3(5) + b
9 = 15 + b
-6 = b
y = 3x - 6
Emily:
y- 9 = 3(x - 5)
y- 9 = 3x - 15
y = 3x - 24
Answer:
Explanation:

Answer 1

Explanation:

Hey there!

The equation, of a st. line that passes through point (5,9) is,

`(y - y1) = m1(y - y1)`

Put the values,

`(y - 9) = m1(x - 5)`

It is 1st equation.

Now, another equation is,

y = 3x-1.........(ii)

Comparing the equation with y = mx+c.

Slope (m2)= 3

As per the parallel lines,

m1=m2=3

Putting,

the value of m1 in equation(i)

(y-9)= 3(x-5)

y-9= 3x - 15

y = 3x - 6.

So, Krista equation is correct.

Hope it helps...