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1 answer:
Answer:
The equation of line in the form of Ax + By = C is:
Step-by-step explanation:
We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)
First we need to find slope and y-intercept of the line.
The slope is given i.e. m = -4
Now, we need to find the y-intercept
Using the point (-2,-9) and slope m = -4, y-intercept can be found using:
Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:
Now writing in form of Ax + By = C
So, the equation of line in the form of Ax + By = C is: .
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Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
<h3>1) GRAPH</h3>We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
<h3>2) FORMULA</h3>General form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
