Question

Find the coordinates of the graph without drawing a graph.

y =1.2x +6

Answer 1

`y = 1.2x + 6`

When the equation intersects with the x-axis, y = 0

when y = 0

`1.2x + 6 = 0`

`1.2x = -6`

`x = -6 / 1.2 = -5`

`\implies \text{The coordinate is} \ (-5, 0)`

When the equation intersects with the y-axis, x = 0

When x = 0

`y = 1.2(0) + 6`

`y = 6`

`\implies \text{The coordinate is} \ (0, 6)`

Answer: The intersection with the x − axis and y − axis is the point with coordinates (-5 , 0) and (0 , 6)