Question

Draw the graph of the lines represented by the equations 5y = 3x + 1 and y = 2x + 3 on the same graph. Find the coordinates of the point where they intersect.

Answer 1

For equation (1),
5y = 3x + 1

y = `(3x + 1)/(5)`
When x = -2,

y = `(3(-2) + 1)/(5)` = -1
When x = 8,

y = `(3(8) + 1)/(5)` = 5
When x = -7,

y = `(3(-7) + 1)/(5)` = -4

x	-2	8	-7
y	-1	5	-4

For equation (2),
y = 2x + 3
When x = 0, y = 2(0) + 3 = 3
When x = -1, y = 2(-1) + 3 = 1
When x = -7, y = 2(-7) + 3 = -11

x	0	-1	-7
y	3	1	-11

(-2, -1)

∴ The point of intersection of the 2 lines is (-2, -1).