Greg
secondary level I am helping my son to understand the correct process for two math examples: *If the line with equation 3x4ky= 16 has yintercept 2, find k. *Write the equation of the line passing through (2,5) and perpendicular to the line passing through (2,4) and (6,1)
Your help in assisting us would be greatly appreciated.
The yintercept is the ycoordinate of the point where the line crosses the yaxis. Since this is a point on the yaxis, the xcoordinate is zero. In your first problem the yintercept is 2 and hence the point where the line crosses the yaxis is (0,2).
Since (0,2) is on the line, (0,2) satisfies the equation of the line. Thus
The fact that you need to solve the second problem is that the products of the slopes of two perpendicular lines is 1. The line through (2,4) and (6,1) has slope Finally write the equation of the line through (2,5) with slope ^{4}/_{5} Cheers,Penny
