algebra – simultaneous equations - The diagram above shows the curve with equation y^2 = 4(x - 2) and the line with equation 2x

Krishna (last edited 9 months ago) (Expert, Educator @Qalaxia)

Step 1: Note down the given equations and observe the diagram (point out the intersection points)

Step 2: Put x or y equal to zero to find the intersection point of curve or line with the axis.

NOTE: If the line or curve intersecting the y-axis then put x = 0 in the equation

If the line or curve intersecting the x-axis then put y = 0 in the equation.

EXAMPLE: The curve y^2 = 4(x - 2) intersecting the x-axis

so, y = 0.

0 = 4(x - 2)

Step 3: Solve the equation

NOTE: Apply the inverse operations

0 = 4(x - 2)

(x - 2) = 0

x = 2

y-coordinate "0"

x-coordinate "2"

Intersection points (0, 2)