Respuesta :
Answer:
y = - 4x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 4, thus
y = - 4x + c ← is the partial equation of the line
To find c substitute (- 2, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 4x - 13 ← equation of line
The equation of the line is y = - 4x - 13.
We have given that,
The line that has a slope -4 and passes through the point (-2, -5)
We have to determine the equation of the line
What is the equation of the slope-intercept form?
The equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - 4, thus
y = - 4x + c is the partial equation of the line
To find c substitute (- 2, - 5) into the partial equation
So we get,
- 5 = 8 + c
⇒ c = - 5 - 8
c= - 13
Therefore the equation of the line is y = - 4x - 13
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