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s344n2d4d5 [400]
3 years ago
6

What is the equation of the line passing through the points (2, -1) and (5.-10) in slope-intercept form

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Answer:

y = -3x + 5

Step-by-step explanation:

Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).

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Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​
cricket20 [7]

Answer:

y=\frac{5}{3}x+4\frac{2}{3}

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = \frac{5}{3}

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

3=\frac{5}{3}(-1)+b

3=-\frac{5}{3}+b

4\frac{2}{3}=b

Now that we know the values of b and m, we can write the equation:

y = \frac{5}{3}x+4\frac{2}{3}

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Answer:

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