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Maurinko [17]
3 years ago
13

What is the y- intercept of the line graphed on the grid (-2,7) (6,1)

Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

The y-intercept of the line graphed on grid (-2,7) and (6,1) is 5  .

Step-by-step explanation:

Given as :

The points on the grid is (-2,7) and (6,1)

So, The points as ( x_1 , y_1 ) = ( - 2 , 7 )

And  ( x_2 , y_2 ) = ( 6 , 1 )

Let The slope for the given points on grid = m

So, The value of m can be find as

m = \dfrac{y_2-y_1}{x_2-x_1}

substitute the points

So, m = \dfrac{1-7}{6-(-2)}

I.e m = \dfrac{1-7}{6+2}

Or, m = \dfrac{-8}{8}

So, slope = m = - 1

Now, equation of line with slope points as

y - y_1 = m × (x - x_1 )

Or, y - 7 = ( -1 ) × (x - ( - 2) )

or, y - 7 = ( -1 ) × ( x + 2 )

or, y - 7 = - x - 2

or, y = - x - 2 + 7

∴  y = - x + 5

So, line equation is y = - x + 5

So, comparing with line equation of  y = m x + c

where m is the slope of line , and c is the y-intercept

So, for the given points the y-intercept is 5

Hence The y-intercept of the line graphed on grid (-2,7) and (6,1) is 5  . Answer

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