Answer:
k = 7
Step-by-step explanation:
The given figures are lines f(x) and g(x)
For the line f(x), we have the y-intercept at (0, -3) and slope = (-1 - (-3))/(-3 - 0) = -2/3
Therefore, line f(x) = y - (-3) = -2/3·(x - 0) which gives f(x) = y = -3 - 2·x/3
For the line g(x), the y-intercept is (0, 4), and the slope is (4 - 2)/(0 - 3) = -2/3
The equation of the line g(x) is therefore, g(x) = y - 4 = -2/3·x, which simplifies to the slope and intercept form as g(x) = y = 4 - 2/3·x
Therefore, given that the transformation of f(x) to g(x) is given as g(x) = f(x) + k, we have;
k = g(x) - f(x) = 4 - 2/3·x - (-3 - 2·x/3) = 4 - 2/3·x + 3 + 2·x/3 = 7
∴ k = 7
Put the points on the coordinate plane
Answer:
Step-by-step explanation: Your supposed to move 1.5x to the other side of 2y. Then you have -1.5x on the right side. Divide all terms by 2 and you’ll get your equation in y=mx+b format. Hope this helps
Answer:
1. x = 5 2. y = 4 3. x = -2
Step-by-step explanation:
2x - y = 9 -5x + 2y = 13 3x + 4y = -6
<u>4x + y = 21</u> <u>5x + y = -1 </u> <u> 7x(-1) + 4y(-1) = -14(-1)</u> <(multiply all by -1)
<u>6x = 30 </u> <u>3y = 12</u> <u> -4x = 8</u>
6 6 3 3 4 4
x = 5 y = 4 x = -2
Answer: m = -8/9
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