Posted by **lacrsha** on Monday, September 28, 2009 at 9:08pm.

a linear function has the same y-intercept as x+4y=12 and its graph contains the point(5.4).find the y-intercept and the slope of the linear function

- algebra -
**MathMate**, Monday, September 28, 2009 at 9:40pm
The y-intercept of the line

L1 : x+4y=12 can be found by putting the equation in slope-intercept form,

L1 : y = -(1/4)x + 3

The intercept is thus +3, and the point of intercept is (0,3).

The linear function therefore passes through the points P1(0,3) and P2(5,4).

The slope m,can be found by

m=(y2-y1)/(x2-x1) as long as x2≠x1.

The line passing through the two given points is

L2 : (y-y1)/(y2-y1)=(x-x1)/(x2-x1)

where y2≠y1 and x2≠x1.

## Answer this Question

## Related Questions

- College algebra! - For the linear function f(x) = 5x + 3 (a) Determine the slope...
- math - find the linear function f(x(=mx+b whose graph has the given slope and y ...
- math - find the linear function f(x)=mx +b, whose graph has the given slope and ...
- Algebra - The table below represents the function f(x). (-6, 12),(-5,-8),(-4,-4...
- Algebra 116 - I have like 13 questions i need help with so here they go. 1. In ...
- math - Use the graph below to answer the following question. 1. Find the slope...
- Math/Algebra - Please help me with this, below is a question I have to answer…...
- Math-due today, need a check - Please help me with this, below is a question I ...
- College Algebra - 1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the ...
- math help!!! - stuck!! pls help/explain!!! 2. Do the values in the table ...