Question

Write an equation of the line that passes through the given points (-4,8) and (2,2)

Answer 1

y = -x + 4.

Explanation:

The slope of the line = (y2-y1) / (x2-x1)

= (8-2) / (-4-2)

= -1.

Using the point slope form of a straight line

y - y1 = m(x - x1):

y - 2 = -1(x - 2)

y - 2 = -x + 2

y = -x + 4.

Answer 2

y=-x+4

Explanation:

Slope= Difference in y over difference in x position:

(2-8)/(2--4) --> -6/6 --> -1

The slope is -1

We can put what we have so far in slope intercept form: y=-1x+b

The y-intercept (also known as b) in this equation is 4

In slope-intercept form this line would be written as y=-1x+4,

or simply just y=-x+4