What is the equation of the line that passes through (5, 3) and (4, 5)
1 answer:
Answer:
y = - 2x + 13
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 ) = (5, 3) and (x₂, y₂ ) = (4, 5)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 5), then
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
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A. We can compress the graph of the function in the y-direction by multiplying the whole function by a constant C, such that
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C. We can flip the graph of the function upside down by multiplying the whole function by −1, then translate 1 unit to the left and 5 units up. Then we will get the function