Find the equation of the line with slope −4 and that contains the point (−8,−3). Write the equation in the form y=mx+b and identify m and b.

Respuesta :

The equation of the line in slope intercept form is y =-4x - 29 where m = -4 and b = -29

Equation of a line

A line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;

y = mx + b

where

m is the slope

b is the intercept

Given the following parameters

Slope = -4

Point on the line = (-8, -3)

Write in point slope form

y - (-3) = -4(x -(-8))

y+3 = -4(x + 8)

Expand to have;

y+3 = -4x - 32

y = -4x - 32 + 3

y = -4x - 29

Hence the equation of the line in slope intercept form is y =-4x - 29 where m = -4 and b = -29

Learn more on equation of a line here; https://brainly.com/question/13763238

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