[b][color=#0000ff]This is a self mastery practice activity. Score yourself at least 10 marks to master this.[/color][/b][br][b][br]Some refreshers:[/b][br][br](1) [b]y = mx + c[/b] is the function (or [b]equation[/b] of a straight line graph) [b]in[/b] [b]gradient-intercept form[/b] [br] [color=#cc0000] [b]m is the gradient[/b],[/color] and [color=#9900ff][b]c is the y intercept[/b].[/color][br] [b]Graphical meaning of m and c[/b] shown in [url=https://www.geogebra.org/m/ssesmgqb]https://www.geogebra.org/m/ssesmgqb[br][br][/url](2) Linear equations in the form [b]ax + by + c = 0[/b], [br][b] ax + by = c [/b]or [br][b] by = ax + c[/b] (where a, b and c are real numbers)[br] can be reduced to their [b]equivalent equations[/b] in the gradient intercept form, ie y = mx + c.[br] ([b]additional self directed automated practices[/b] at [url=https://www.geogebra.org/m/fsgt7mp3]https://www.geogebra.org/m/fsgt7mp3[/url][br][br] eg 4x + 2y - 6 = 0 ( of the form ax + by + c = 0)[br] 2y = -4x + 6 (after subtracting 4x and adding 6 to both sides of the equation[br] y = -2x + 3 (after dividing both sides of the equation by 2)[br][br] which is of the form y = mx + c. (where m is the gradient and c is the y intercept)[br][br] y = -2x + 3 is the equivalent equation of 4x + 2y - 6 = 0 using the balance principle [br] of applying equal operations on both sides of an equation.[br] [br] Hence for the graph represented by the linear equation 4x + 2y = 6 = 0, [br] the gradient of the graph is -2, and the y intercept is 3.[br][br] Using the balance principle x - 2y = 4 is equivalent to y = 0.5 x + 2[br] Hence, the gradient is 0.5 and the y intercept is 2.[br][br]Go ahead and do the practice below (Observe the answer steps for each attempt)