Find an equation of each line with the given slope that passes through the given point. Write the equation in the form Ax+By=C

Question

A) m=4; (10,5) 

B) m= -7/9; (5,2) 

C) m=-6; (-8,-10) 

D) m=1/2; (-4,8) 

Answer 1

Here is a solution for part A.  The other parts are done similarly:

 

 Use the point-slope form for the equation of a line:  y - y₁ = m (x - x₁) 

 

     y - 5 = 4(x - 10)

 

     y - 5 = 4x - 40      So, 4x - y = 35