Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Only D because if you set both equations equal to each other and solve for x, x=1. The only point where x=1 is D.
If you’re still not convinced, plug 1 back into the equations and you get y=1 for both.
Therefore, the answer is D.

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Write an equation in the variables x and y for the line that passes through the point (4, 7) and that is perpendicular to the li

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First of all, we need to find the slope of the given line, writing it in the $y=mx+q$ form and reading the $m$ coefficient:

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So, the slope of our line must satisfy

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So, we need the equation of a line with slope 1 and passing through (4,7). Given the slope $m$ and a point $(x_0,y_0)$ of a given line, its equation is given by