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What is the equation of this line?

A: y= 4/3x-5
B: y= 3/4x-5
C: y= -4/3x-5
D: y= 4/3x+5

What is the equation of this line? A: y= 4/3x-5 B: y= 3/4x-5 C: y= -4/3x-5 D: y= 4/3x-example-1
User Glopes
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1 Answer

2 votes

Answer:

A

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate slope m using the slope formula

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

let (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

substitute these values into the formula for m

m =
(3-(-1))/(6-3) =
(3+1)/(3) =
(4)/(3)

the line crosses the y- axis at (0, - 5 ) , then c = - 5

y =
(4)/(3) x - 5 ← equation of line

User Anqi Lu
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