Ur asking for slope intercept form, but ur answer choices are in point slope form....so I am gonna find the answer in point slope form.
y - y1 = m(x - x1)
slope(m) = 2/3
(5,-3)....x1 = 5 and y1 = -3
now we sub...but pay very close attention to ur signs
y - (-3) = 2/3(x - 5) =
y + 3 = 2/3(x - 5) <=== ur answer in point slope form
Answer:
Step-by-step explanation:
<u>Since T is midpoint, ST and TU have equal length:</u>
<u>Substitute the values and solve for x:</u>
- 6x - 8 = 4x + 9
- 6x - 4x = 9 + 8
- 2x = 17
- x = 17/2
- x = 8.5
2/8 is the answer because if you do 3-1 it would equal 2 and then you would put 2 over eight. You can even simplify it to 1/4 because 2 and 8 can both be divided by 2.
The slope of the linear function shown is of -1/3.
<h3>What is a linear function?</h3>
A linear function, in slope-intercept formula, is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x</u>.
In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:
m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.
More can be learned about linear functions at
brainly.com/question/24808124
#SPJ1
