y-intercept is 2
Slope is -2/3
The equation is: y = -²/₃x + 2
x-intercept is: x = 3
How to solve a Linear function model?
h(x) is linear function and we know that the general form of the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
Thus:
y = h(x) = mx + C
y-intercept = h(0) = 2 = c
the dependent variable decreases 2 units for every 3 units the independent variable increases. Thus:
Slope = independent variable/dependent variable = -2/3
Thus, the equation is:
y = -²/₃x + 2
x-intercept = h(x) =0
Thus:
0 = -²/₃x+2
²/₃x = 2
x = 3
Complete question is:
A linear function h models a relationship in which the dependent variable decreases 2 units for every 3 units the independent variable increases. Graph h when h(0)=2. Then identify the slope, y-intercept, and x-intercept of the graph.