Question

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

Answer 1

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