Question

Find the equation of the line shown.

Answer 1

Answer:

y = (-1/4)*x+2

Step-by-step explanation:

The equation is written this way : y= mx+c

• m is the slope and c is a constant
• m = (f(4)-f(-4))/(4-(-4))= (1-3)/8 = -1/4
• y = (-1/4)*x + c
• replace x and y by the coordinates of a point to get c
• 1 = -1/4*4+c
• 1= -1+c
• c= 2

y = -1/4*x+2

Answer 2

Answer:

y = -1/4x +2

Step-by-step explanation:

We know the y intercept is 2  ( where it crosses the y axis)

We also need to find the slope

( 0,2) and (4,1) are two points on the line

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-2)/(4-0)

   -1/4

We can write the equation in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/4x +2