Question

How do I find the slope, y-intercept, and coordinates of (-1,7) (0,5)?

Answer 1

The slope for the given points is - 2 , and y- intercept is 5

Explanation:

Given points as :

( - 1 , 7 ) and ( 0 , 5 )

Now slope of line in points form as

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

or, m =
`(5 - 7)/(0 + 1)`

or, m = - 2

so, Slope of line is - 2

Now equation of line is given as

y -
`y_1` = m × ( x -
`x_1` )

or, y - 7 = ( - 2 ) × ( x + 1)

or, y - 7 = - 2 x - 2

Or, equation of line is

y = - 2 x + 5

Now, for y - intercept , x = 0

So, from line equation

y = - 2 × 0 + 5

Or, y = 0 + 5

∴ y = 5

Hence The slope for the given points is - 2 , and y- intercept is 5 Answer