3 years ago

Write the equation of the line in slope-intercept form that has a slope of -1/2 and goes through the point (2,3)

1 answer:

7 0

ANSWER : y=-1/2x+4
Y=mx+c
Gradient = y2-y1/x2-x1
Gradient = -1/2 as mentioned
y=-1/2x+c
Pick (2,3) 2 as x variable and 3 as y
3=-1/2(2)+c
3=-1+c
3+1=c
4=c
Equation y=-1/2x+4

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3 years ago

What is the most precise name for quadrilateral ABCD with vertices A(–5,2), B(–3, 5),C(4, 5),and D(2, 2)?

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Answer: ABCD is a parallelogram.

Step-by-step explanation:

First we plot these point on a graph as given in attachment.

From the attachment we can observe that AD || BC || x-axis .

also, AB ||CD, that will make ABCD a parallelogram , but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".

Mid point of AC= $(\dfrac{-5+4}{2},\dfrac{2+5}{2})=(\dfrac{-1}{2},\dfrac{7}{2})$