Answer:
For the first question, the answer is 4/3. For the second it is 16.
Step-by-step explanation:
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Answer:
<h2>y = 3x - 3</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the slope <em>m = 3</em>, and the point <em>(2, 3)</em>.
Put the value of slope and the coordinates of the given pint (x = 2, y = 3) to the equation of a line:
<em>subtract 3 from both sides</em>
Finally:
Slope intercept form is y = mx + b.
Y = coordinate y.
M = Slope
X = coordinate x.
B = y-intercept.
Slope formula: (y2-y1) / (x2-x1)
Plug in: (-1 - 7) / (4 - 2) = -4.
We can just insert the pair (2,7) as our x and y to solve b.
7 = -4(2) + b.
Solve for b.
7 = -8 + b.
-b = -8 -7
-b = -15
b = 15.
Original equation:
y = mx + b
y = -4x + 15
Translation rule (x, y)--->(x + 4, y - 10)
Object A = (5, 6)
Apply rule:
(5, 6)---->(5 + 4, 6 - 10) = (9, -4)
Image A' = (9, -4)
Option 3: (9, -4) is the answer
