Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they hav
1 answer:
You might be interested in
Answer:
y = 9x - 11
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)
m = =
= 9, thus
y = 9x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 61), then
61 = 72 + c ⇒ c = 61 - 72 = - 11
y = 9x - 11 ← equation of lie
When written in the form, the slope of a line is given by the coefficient
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope of a line and one of its points
, the equation of the line can be derived from the following formula:
Which in your case becomes
Expand the right hand side and solve for y: