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A line passes through the points (1, -4) and (3, 2). Write the equation of the line in the slope-intercept form.

A line passes through the points (1, -4) and (3, 2). Write the equation of the line-example-1
User Hyewon
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1 Answer

1 vote

Answer:


y=3x-7

Explanation:

Hi there!

Slope-intercept form:
y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)


$m=(y_2-y_1)/(x_2-x_1) where two given points are
(x_1,y_1) and
(x_2,y_2)

Plug in the given points (1, -4) and (3, 2):


\displaystyle m=(2-(-4))/(3-1)\\\\\displaystyle m=(2+4)/(3-1)\\\\\displaystyle m=(6)/(2)\\\\\displaystyle m=3

Therefore, the slope of the line is 3. Plug this into
y=mx+b:


y=3x+b

Normally, we would now go about solving for the y-intercept and forming the possible equation for this line. However, there is only one choice option that has 3 as the slope. Therefore, the equation of the line must be
y=3x-7.

I hope this helps!

User Wells
by
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