Question

Write an equation of the line below.
HELP ASAP!!

Answer 1

Answer: y= x/4+4

Explanation:

So we can see the points are (-8,2), (0,4)

Every equation of a line has the equation y=mx+b

substituting the x and y values we get

2= -8m+b

4=0m+b=b

so b=4, and if we put that in the first equation we get m= 1/4.

So the equation of the line will be y= x/4+4

Answer 2

Explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph

y2 = 5

y1 = 4

x2 = 4

x1 = 0

Slope, m = (5 - 4)/(4 - 0) = 1/4

To determine the intercept, c, we would substitute m = 1/4, x = 4 and y = 5 into y = mx + c. It becomes

5 = 1/4 × 4 + c

5 = 1 +c

c = 5 - 1 = 4

The equation becomes

y = x/4 + 4