Answer:
y = -3x - 8
Step-by-step explanation:
graph the two points, the slope is -3 and the y intercept is -8. write them in y = mx + b format. m is the slope and b is the y - intercept.
Equation of line is y = -3x - 8.
The equation of a straight line is a mathematical equation that gives the relation between the coordinate points lying on that straight line. It can be written in different forms and tells the slope, x-intercept, and y-intercept of the line. The most commonly used forms of the equation of straight line are y = mx + c and ax + by = c.
Given
(−5,7) and (−1,−5)
Slope m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{-5-7}{-1-(-5)}[/tex]
m = [tex]\frac{-12}{4}[/tex]
m = -3
Equation of a straight line
[tex]y - y_{1} =m(x-x_{1})[/tex]
⇒ y - 7 = -3 (x - (-5))
⇒ y - 7 = -3x - 15
⇒ 3x + y = - 8
⇒ y = -3x - 8
Hence, equation of a straight line is y = -3x - 8.
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