Step-by-step explanation:
as we have a point and the slope, we can start with the point-slope form and then transform.
the point-slope form is
y - y1 = a(x - x1)
(x1, y1) being a point on the line, a being the slope.
the slope-interceot form is
y = ax + b
a being the slope again, b being the y-intercept (the y value for x = 0).
so, we have
y - -5 = 5/2 × (x - -4)
y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10
y = 5x/2 + 5
or
y = (5/2)x + 5
and this is already the slope-intercept form. all done.
Answer:the first one goes in the both category, the second one goes in the neither category, the third one goes in the x-intercept category and the last one goes in the y-intercept category
Step-by-step explanation:
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Explanation:</h2><h2>
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Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.
Remember that for any relation, we have a set that matches the the domain (also called the set of inputs) of the function and the set that contains the range (also called the set of outputs).
Suppose our relation is:
So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:
So in this context, the correct option is:
B) (-9,-8, -7, -6, -5}
Answer:
x = -2
Step-by-step explanation:
3(-2 - 3x) = -9x - 4 (Given)
3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)
-6 + 9x = -9x - 4 (Simplify)
-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)
-2 + 9x = -9x (Simplify)
-2 + (Division Property of Equality)
-2 = x (Simplify)
x = -2 (Symmetric Property of Equality)