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morpeh [17]
4 years ago
6

Which ordered pairs in the form (x, y) are solutions to the equation (x + 6)y = 9? Choose all answers that are correct.  A.(−5,

9)  B.(−3, 3)  C.(3, 1)  D.(7, 9)
Mathematics
1 answer:
valentinak56 [21]4 years ago
4 0
<span>So we need to find the solutions to the equation (x+6)y=9 so we can arrange them in pair (x,y). We simply plug in the numbers into the equation. First pair (-5,9), we get (-5+6)9=9 so 1=1 and that is true, so first pair works. Second pair: (-3+6)3=9 we get (3)3=9 and 9=9 so second pair also works. Third pair: (3+6)1=9 we get 9=9, also works. Fourth pair: (7+6)9=9 we get 13*9=9 and 117=9 which is false so the fourth pair can't be a solution for the equation. The correct answers are A, B and C.</span>
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Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of points A and B into the formula and simplify:

m = \frac{(-10)-(5)}{(-5)-(0)} \\m  = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation y = mx + b, write the equation of the line. Remember that the number in place of m, or the coefficient of the x-term, is the slope. So, substitute 3 for m. Also, remember that b represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

y = 3x + 5

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3 years ago
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