Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given points as :

( - 1 , 7 )  and  ( 0 , 5 )

Now slope of line in points form as

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

or, m =  $\dfrac{5 - 7}{0 + 1}$

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