Question

A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = x + 5
y = x + 5
y = 3x + 2
y = x + 2

Answer 1

A line passes through (3, 7) and (6, 9)

Here we first find the slope using the formula:

$m=\frac{y2-y1}{x2-x1}$

$m=\frac{9-7}{6-3}$

m=2/3

Now we will use slope intercept form to get the value of y-intercept

y=mx+b

using the point (3,7) and slope m=2/3

7=(2/3)(3) +b

b=5

So we use slope m=2/3 and intercept b=5 in slope intercept form to get the final equation as

y=2/3 x +5

Answer 2

Answer: y=2/3x+5 is the correct option.

Step-by-step explanation:

I took the test and got a 100 percent. :)