Answer:
Y=x + 7
slope = 1, the coefficient of the x term, an implicit one
plug the point y=4, x=-3 into the equation, 4=-3+7 = 4, it passes through the point (-3,4)
Step-by-step explanation:
hope it help
Answer:
C) straight line through (1, 3) ... (-3, -7)
Step-by-step explanation:
The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.
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<h3>intercepts</h3>
The x-intercept is the value of x that satisfies the equation when y=0.
-5x +2·0 = 1
x = -1/5 . . . . . . divide by the coefficient of x
The y-intercept is the value of y that satisfies the equation when x=0.
-5·0 +2y = 1
y = 1/2 . . . . . . divide by the coefficient of y
<h3>nature of the graph</h3>
The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.
Of the offered answer choices, A and B are eliminated because the graph is <em>not a curve</em>. D is eliminated because the suggested points have coordinates with <em>opposite signs</em>. The correct choice is C:
It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
Answer:
y=mx+b
Step-by-step explanation:
The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2