Question

Can somebody please help...I don’t understand it would mean a lot ❤️

Answer 1

Explanation:

The slope-intercept equation for a line is y = mx+b, where m is the slope and b is the y-intercept.

Refer to the picture. You can see that the line crosses the y-axis at (0,8), which means the y-intercept is 8.

The graph shows the path of a hiker walking up the hill. When he goes from one blue dot to the next, he has moved 2 units to the right and 1 unit up. The slope of the hill is ½.

Slope-intercept equation for line of slope ½ and y-intercept 8:

y = ½x+8

There is nothing to simplify.

Answer 2

y=0.5x+8

Explanation:

Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.

To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):

We can take two points from the graph: (2,9) (4,10)

m=(y₂-y₁)/(x₂-x₁)

m=(10-9)/(4-2)

m=1/2 or 0.5

Now sub this value in for m and our formula looks like this:

y=0.5x+c

To find the value of c, sub in one of the points, eg. (4,10)

y=0.5x+c

10=0.5(4)+c

10=2+c

c=8

So now that we now m and c, our equation is complete :D

y=0.5x+8