what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)
1 answer:
Answer:
y = x +
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 )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = =
, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = + c ⇒ c = 7 -
=
y = x +
← equation in slope-intercept form
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