SOLUTION: I just want to see if I have the below problem done correctly: Find the equation of the line with slope m=-7/5 and x-intercept 5 I used the equation y=mx+b y=(-7/5)x+b y=

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Question 25784: I just want to see if I have the below problem done correctly:
Find the equation of the line with slope m=-7/5 and x-intercept 5
I used the equation y=mx+b
y=(-7/5)x+b
y=-1.4(5)+0
y=-7
Thank you

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Well, you are on the right track!
Your answer should be in the form of y = mx + b as you have correctly stated but given the slope (m=-7/5) and x-intercept of 5 allows you to calculate the y-intercept, b, which what you need for your equation.
A key point here is recognising that having an x-intercept of 5 means that x = 5 when y = 0.
So, starting with y = mx + b and substituting y = 0, x = 5, and m = -7/5, you can solve for b.

Simplify and solve for b.
Add 7 to both sides of the equation.
Now you can write your equation.





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