Posted by lacrsha on .
a linear function has the same yintercept as x+4y=12 and its graph contains the point(5.4).find the yintercept and the slope of the linear function

algebra 
MathMate,
The yintercept of the line
L1 : x+4y=12 can be found by putting the equation in slopeintercept 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=(y2y1)/(x2x1) as long as x2≠x1.
The line passing through the two given points is
L2 : (yy1)/(y2y1)=(xx1)/(x2x1)
where y2≠y1 and x2≠x1.