30 POINT QUESTION!
2 answers:
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Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula, or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m = =
= 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line