Answer:
Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as
where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is
Now we have to find the slope. We do that by choosing two points along the line, with coordinates 
and 
and by using the equation
Here we take the two points:
(0,4)
(-8,0)
So the slope is
Therefore, the equation of the line is
Answer/Step-by-step explanation:
Given:
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle
Plug in the values
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
Answer:
12% decrease
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
650-572=78
Divide this amount by the original amount
78/650 =.12
Multiply by 100
.12*100 = 12
Add the percent symbol
12% decrease
