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Find the equation of this line please

Find the equation of this line please-example-1
User AlanObject
by
8.4k points

1 Answer

5 votes

Answer:

y =
(3)/(4) x + 14

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 =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line

m =
(4-(-2))/(5-(-3)) =
(4+2)/(5+3) =
(6)/(8) =
(3)/(4) , then

y =
(3)/(4) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, 4 )

4 =
(3)/(4) (5) + c =
(15)/(4) + c ( subtract
(15)/(4) from both sides )

4 -
(15)/(4) = c , then

c =
(16)/(4) -
(15)/(4) =
(1)/(4)

y =
(3)/(4) x +
(1)/(4) ← equation of line

User Hicolour
by
8.4k points

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