What is the equation of the line shown in the graph?

Mathematics

1 answer:

postnew [5]3 years ago

4 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, 1) and (2, -4). Substitute:

$m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1$

Therefore we have the equation of a line

$y=-1x+b\to y=-x+b$

Put the coordinates of the point (-3, 1) to the equation:

$1=-(-3)+b$

$1=3+b$ <em>subtract 3 from both sides</em>

$-2=b\to b=-2$

<h3>Answer: y = -x - 2</h3>

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