the correct answer is (4.8)
We know that
the equation of the line in standard form is
Ax+By=C
the equation of the line <span> in the slope-intercept form is
</span><span>y +1 = 2/3 (x - 8)-----> y+1=(2/3)x-(16/3)----> y-(2/3)x=(-16/3)-1
</span>y-(2/3)x=(-19/3)----> multiply by 3-----> -2x+3y=-19
the answer is
-2x+3y=-19
<span>I verify that the points belong to the given line
for the point (8,-1)
-2*8+3*(-1)=-19--------> -16-3=-19-----> -19=-19------> is ok
for the point (2,-5)
-2*2+3*(-5)=-19------> -4-15=-19------> -19=-19-----> is ok</span>
It is not an equation, it's a function & I guess you have to draw it
h(x) = - 2x/3 - 11/3
It's a linear function: To draw it, try to find 2 points, say A & B.
To find A, plug any (logical) number into x to find y. For instance , let x=0, if so y=-11/3 & the coordinate of the first point A(0, - 11/). Try to find B by following the same methodology
Answer:
11/12
Step-by-step explanation:
2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4
Then your problem becomes ...
(11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12
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The numerator and denominator have no common factors, so this is lowest terms.
Answer:
The point P' is the image of the point P under the translation
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
Coordinates of the point P':
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
Simplifying the coordinates, we get;
Thus, the coordinates of the point P' is (0,-1)
Step-by-step explanation:
1/4(6) + 3(7)
6/4 + 21
3/2 + 42/2
45/2= 22 1/2