Question

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

Answer 1

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

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 =
`(y_2-y_1)/(x_2-x_1)`

substitute the points

So, m =
`(1-7)/(6-(-2))`

I.e m =
`(1-7)/(6+2)`

Or, m =
`(-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