At 3pm the hour and the minute hands of the clock make a 90 degree angle. What will be the next very next exact time the hands will make a 90 degree angle?

The graph that matches the equation y+3=2(x+3) is shown in the diagram.

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

Let us tackle the problem.

Given:

To illustrate this straight line graph, we just need to find 2 random points that are passed by the line.

If x = 0 , then :

If x = 1 , then :

From the results above, we can conclude that the line past through point (0,3) and point (1,5). Next we can draw this straight line graph by connecting these 2 points as shown in the diagram.

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point