Question

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

Answer 1

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.