The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) is y-4=1/4 (x-8) what is the s
lope intercept form of the equation for this line ?
1 answer:
Answer:
y = x + 2
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 )
Given
y - 4 = (x - 8) ← distribute
y - 4 = x - 2 ( add 4 to both sides )
y = x + 2 ← in slope- intercept form
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Bx + Cy = D
Solve for y . . .
*subtract Bx from both sides
Bx - Bx + Cy = D - Bx
Cy = D - Bx
*now divide both sides by C
Cy/C = (D - Bx)/C
Cy/C = D/C - Bx/C
y = D/C - (B/C)x
<u><em>y = -(B/C)x + D/C</em></u>
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