Two functions are graphed on the coordinate plane.
1 answer:
Answer:
Option B
Step-by-step explanation:
We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -
Function f( x ) where x = - 4 / Function g( x ) where x = - 4,
Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,
<u><em>Your solution should be option b, " f(-4) = g(-4) and f(0) = g(0) "</em></u>
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Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
Since you know m = 7/2, plug it into the equation
y = 7/2x + b
To find "b", plug in (-12,-9) into the equation
y = 7/2x + b
-9 = 7/2(-12) + b
-9 = -84/2 + b
-9 = -42 + b Add 42 on both sides
33 = b
(if you're not suppose to use slope-intercept form)
Point-slope form:
y - y₁ = m(x - x₁)
m = 7/2
(x₁ , y₁) = (-12,-9)
Plug this into the equation
y - y₁ = m(x - x₁)
y - (-9) = 7/2(x - (-12))
Answer:
see attached
Step-by-step explanation:
