Question

Find the equation (in terms of x ) of the line through the points (-3,5) and (1,-7)
y= ___
fill in the blank

Answer 1

The equation (in terms of x ) of the line through the points (-3,5) and (1,-7) is y = -4x - 3

The formula for calculating the equation of a line is expressed as;

y = mx + b where

• m is the slope

• b is the y-intercept

Given the coordinate points  (-3,5) and (1,-7)

Get the slope

$Slope = \frac{-7-5}{1+3}\\Slope =\frac{-12}{4}\\slope =-3$

Get the y-intercept

Recall that y = mx+ b

-7 = -4(1) + b

-7 = -4 + b

b = -7 + 4

b  = -3

Get the required equation:

y = -4x + (-3)

y = -4x - 3

Hence the equation (in terms of x ) of the line through the points (-3,5) and (1,-7) is y = -4x - 3

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