find the coordinates of the point of intersection of the line

Question

1. On graph paper draw axes with values of x and y between −3 and 10, and plot the following points:
2. P(4, 0), Q(−2, 9), R(5, 8), S(−1, −2)
3. Hence find the coordinates of the point of intersection of the line passing through P
4. and Q, and the line passing through R and S.

Answer 1

Hello, Brooke,

Which part of this question would you like help on? I am unable to load a graph due to space limitations, but I can explain how to get there if you could narrow down which aspect is confusing. The wording on part 4 is not clear - it seems to be a part of question 2.

You can simply draw the lines as noted and find the coordinates of the point the two lines intersect.

You can also find the slopes and b-intercepts for both lines and use an online graphing utility (DESMOS). But that requires a longer explanation.

Bob