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viva [34]
2 years ago
15

Find the equation of a line passing through the point(-3,0) and (2,-3)​

Mathematics
2 answers:
liq [111]2 years ago
7 0

Answer:

y = -3

Step-by-step explanation:

Svetradugi [14.3K]2 years ago
5 0

Answer <u>(assuming the question allows it to be written in slope-intercept form)</u>:

y = -\frac{3}{5} x-\frac{9}{5}

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}, substitute the given points' x and y values, and simplify:

m = \frac{(-3)-(0)}{(2)-(-3)} \\m  =\frac{-3-0}{2+3}\\m = -\frac{3}{5}

Thus, the slope is -\frac{3}{5}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) and substitute real values for m, x_1, and y_1.

Since m represents the slope, substitute -\frac{3}{5} in its place. Since x_1 and y_1 represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}

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