Question

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Farmer Lirt had frents on his farm. As hours (x) increased, the total
count of frents (y) changed. Use this graph to create the equation, in
slope-intercept form, for the relationship.
10
20
30
40
5
X
0
Y
360
What is the slope

Answer 1

Equation of the graph is y = –9x + 360.

Solution:

Take any two points on the line.

Let the points are (40, 0) and (0, 360).

`x_1=40, y_1=0, x_2=0, y_1=360`

Slope of the line:

`$m=(y_2-y_1)/(x_2-x_1)`

`$m=(360-0)/(0-40)`

`$m=(360)/(-40)`

m = –9

The slope is –9.

y-intercept is the point where the line intersects with the y-axis.

y-intercept = 360

b = 360

Slope-intercept form:

y = mx + b

y = –9x + 360

Equation of the graph is y = –9x + 360.