The equation in slope-intercept form is y=-8x+25
Step-by-step explanation:
The equation given is y+1 = -8(x+9) which can be written in slope intercept form of y=mx+c where m is the gradient and c is the y-intercept as;
y+1= -8x - 72
y= -8x -72-1
y= -8x -73
The slope m₁ is -8
A line parallel to this line should have its slope equals to -8 because two lines which are parallel have the same slope value,so m₁=m₂=-8
Given the point as (3,1) the equation for slope will be;
m₂=Δy/Δx
-8=y-1/x-3
y-1 = -8(x-3)
y-1 = -8x+24
y= -8x + 24+1
y= -8x +25
The equation is y= -8x +25
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Keyword : Slope-Intercept form
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