SOLUTION: x-intercept:-3,y-intercept:6 I need to know what the equation of the line that has each pair of intercepts. Can you show me the way to figure it out so I can do my homework?

Algebra ->  Linear-equations -> SOLUTION: x-intercept:-3,y-intercept:6 I need to know what the equation of the line that has each pair of intercepts. Can you show me the way to figure it out so I can do my homework?       Log On


   



Question 243168: x-intercept:-3,y-intercept:6
I need to know what the equation of the line that has each pair of intercepts. Can you show me the way to figure it out so I can do my homework?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The two intercepts give you two points on the line. To be an x intercept, the point must have an y coordinate of 0. So one point is (-3,0)
To be a y intercept, the x coordinate must be 0. So a second point is (0,6)
Now find the line that contains those two points: at this URL
http://www.algebra.com/algebra/homework/Linear-equations/find-equation-of-line.solver
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-3, 0) and (x2, y2) = (0, 6).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%286-0%29%2F%280--3%29+=+2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 2%2A-3+%2Bb+=+6. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=0-2%2A-3+=+6.

y=(2)x + (6)

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