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.
© BrainMass Inc. brainmass.com December 24, 2021, 11:08 pm ad1c9bdddf>https://brainmass.com/math/linear-algebra/determining-slope-intercept-line-541611
