3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)
2 answers:
Answer:
B) (-2, 5)
Step-by-step explanation:
Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.
<u>Trying the points</u>
A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14
B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true
C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14
D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2
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Choice B ( -2, 5) is the only point that works in both equations.
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Answer:
The Slope Intercept form of the equation through the point (0, -4) and
(1, 0) is y = 4 x - 1
Step-by-step explanation:
Here, the given points are A (0,-4) and B(1,0)
Now, slope of the equation with points (a,b) and (c,d) is given as
So, here the slope of the line AB is given as:
⇒ m = 4
Now, by POINT SLOPE form:
The equation with slope m and point (x0 , y0) is represented as :
(y-y0) = m (x-x0)
⇒ The equation of AB is of the form with point (1,0) is
y - 0 = 4 (x -1)
or, y = 4 x - 1
Also, the SLOPE INTERCEPT form of an equation is of the form
y = m x + C ; m = slope and C = y -intercept
Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1