The equation, in slope-intercept form, of the line that is perpendicular to the one shown and goes through the point (-1,-4) is y = 5x +1
What is a Line Equation ?
An equation that is represented by
y =mx+c , where m is the slope and c is the intercept.
From the graph given
The points of the given graph is
4 ,1 and -1,2
The slope m = (2-1)/( -1-4) = -1/5
The line perpendicular to this line will have a slope of
-1/5 * m' = -1
m = 5
The line passes through the points (-1,-4)
The equation can be written as
(y-y₁) = m(x-x₁)
(y +4) = 5(x+1)
y +4 = 5x+5
y = 5x +1
The equation, in slope-intercept form, of the line that is perpendicular to the one shown and goes through the point (-1,-4) is y = 5x +1.
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