When the equation is given in the standard form: y = mx + c, the gradient is m. So here, y = 7x + 2 means m, the gradient, is 7.
3y = -5x+2 y = -5/3x+2/3 The gradient is -5/3 and the y intercept is 2/3
The one which shows a straight line with a positive gradient of 3 and crossing the y axis at 2.
y = 3x + 1 is a linear equation - it is the equation for a graph of a straight line that crosses the y axis at 1 and the x axis at -1/3, and has a gradient (slope) of 3.
2
Gradient = 2
Gradient = 2
y=mx+c m=gradient c= is the y intercept in ur case: y=5x so gradient = 5
Gradient = -2 y-intercept = -4
4
-2
y equals 8x is a straight line pasing through the origin (0,0) and having a gradient (slope) of 8 (i.e. gradient = "change in y" divided by "change in x" )
The period is the length of x over which the equation repeats itself. In this case, y=sin x delivers y=0 at x=0 at a gradient of 1. y next equals 0 when x equals pi, but at this point the gradient is minus 1. y next equals 0 when x equals 2pi, and at this point the gradient is 1 again. Therefore the period of y=sinx is 2pi.
y=-4x + 3 or generally y=mx + b so m, or gradient = -4
6
3
2