Question

What are the slope and the y-intercept of the line shown in the graph?

Answer 1

Hey there!!

First, let us take 2 points on the graph, there is only one point which is exact which is ( 0 , 2 ) and then let us take another point which is almost perfect ( 1.5 , -2 )

Slope formula :

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

y₂ = -2

y₁ = 2

x₂ = 1.5

x₁ = 0

If we substitute, we get,

( - 2 - 2 ) ÷ ( 1.5 - 0 )

( - 4 ) ÷ ( 1.5 )

⇒ - 40 ÷ 15

⇒ - 8 ÷ 3

⇒ -2.6

Which is almost is - 3 , hence, the slope is ( - 3 )

Y - intercept : The point where the line intercepts the y - axis.

The point is ( 0 , 2 )

y - intercept = 2

Using the formula ⇒ y = mx + b

y = let us take as 2

x = let us take as 0

( according to the perfect points 0 , 2 )

m = slope

b = y - intercept

If we substitute, we get,

2 = ( m ) ( 0 ) + b

2 = 0 + b

2 = b

b = 2

y-intercept = 2

option ( a )

Hope my answer helps!

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