Answer:
y = x + 3
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 ) = (1, 4) and (x₂, y₂ ) = (4, 7)
m =
=
= 1, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (1, 4), then
4 = 1 + c ⇒ c = 4 - 1 = 3
y = x + 3 ← equation in slope- intercept form
Answer:
The answer is
<h2>y = - 8x + 8</h2>
Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula

where
m is the slope
( x1 , y1) is the point
From the question the point is
(1/2,4) and slope m = -8
The equation of the line is

We have the final answer as
<h3>y = - 8x + 8</h3>
Hope this helps you
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