SOLUTION: Write a slope-intercept equation for a line with the given characteristics. m=5/4, passes through (4,7)

Algebra ->  Functions -> SOLUTION: Write a slope-intercept equation for a line with the given characteristics. m=5/4, passes through (4,7)      Log On


   

Question 322836: Write a slope-intercept equation for a line with the given characteristics.
m=5/4, passes through (4,7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We're given that the line passes (4, 7) which means that x=4 and y=7


y=mx%2Bb Start with the general slope intercept equation.


7=%285%2F4%29%284%29%2Bb Plug in m=5%2F4, x=4 and y=7


7=5%2Bb Multiply 5%2F4 and 4 to get 20%2F4=5


7-5=b Subtract 5 from both sides.


2=b Combine like terms.


So b=2 which means that the equation of the line is y=%285%2F4%29x%2B2