Question

Write the equation of the line shown in the graph. Write the equation in slope-intercept form.

y = ________

Answer 1

Explanation:

Find the intersecting point

#1point = (0 , 5)

#2point = (-4 , 4)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 5)/(4 - 5) = (x - 0)/(-4 - 0)

(y - 5)/-1 = x/-4

-4(y - 5) = -x

y - 5 = x/4

y = x/4 + 5 → equation

Answer 2

Answer: y=1/4x+5

Explanation:

Slope intercept form is

y=mx+b

where mx is the slope and b is the y-intercept.

The y-intercept is the part were the line touches the y axis, which in this case you can see is the five

To find the slope you need to use two points. I used (0,5) and (4,6).

This part is kind of tricky to explain so I kinda hope you already know this and sorry if it doesnt make sense but the slope needs to be written as rise/run which could also be reffered to as difference in y/difference in x. So basically what I did is subtract the difference in y values, which is 1 and the difference in x values, which is 4. And then I just put the difference in y value over the difference in x value

(ps I'm really sorry if im wrong-)