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
- 9 / -7 = -9 / 7
- slope = -9 / 7
- 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:
- 13 = -9 / 7 x 2 + b
- 13 = -18 / 7 + b
- 91 / 7 + 18 / 7 = b
- 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!!
