# Determining Slope And Intercept of A Line

Find the slope and y intercept of the line. Graph the line 7x-5y=35

Decide whether the given linear equations are parallel, perpendicular or neither. y=4x+9 y=-1/4x+5/4

Decide whether the given linear equations are parallel, perpendicular or neither. y=5x-7 y=5x+2

Write the standard from of the equation and the general form of the equation of the circle with radius r and center (h,k) then graph the circle r=10 (h,k)= (6,8)

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. 7x-5y=35 so 5y=7x-35, y=1.4x-7, so slope = 1.4 and intercept = -7

2. since slope of y=4x+9 is 4 and slope of y=-1/4x+5/4 is -1/4, 4*-1/4=-1, so given linear equations are perpendicular

3. since slope of y=5x-7 is 5 and slope of y=5x+2 is 5, 5=5, so given linear equations are parallel

4. The standard form for a circle is: r^2 = (x-h)^2 + (y-k)^2. plug in r=10 and (h,k)=(6,8) to get 10^2 = (x-6)^2 + (y-8)^2

so the general form of the equation of the circle is x^2-12x+y^2-16y=0

see attachment for photo.

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