Question

Write the equation of the line that passes through the given points (9,4) and (2,13)

Answer 1

Answer:

y = -9 / 7x + 109 / 7

Step-by-step explanation:

To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:

Slope - the change in y over the change in x

1. 9 / -7 = -9 / 7
2. slope = -9 / 7
3. y-intercept - when x = 0

Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:

1. 13 = -9 / 7 x 2 + b
2. 13 = -18 / 7 + b
3. 91 / 7 + 18 / 7 = b
4. 109 / 7 = b

After finding both the slope and y-intercept, we can now combine them together to form the equation of the line:

y = -9 / 7x + 109 / 7

Hope this helps!!