The features of line A include the following:
gradient = 2.
x-intercept = (1, 0)
y-intercept = (0, -2)
The features of line B include the following:
gradient = -4
x-intercept = (-1, 0)
y-intercept = (0, -4)
The features of the line y - 6x = 54 include the following:
x-intercept = (-9, 0)
y-intercept = (0, 54)
In Mathematics and Geometry, the gradient of any straight line can be determined by using the following mathematical equation;
Gradient (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Gradient (m) of line A = (2 - 0)/(2 - 1)
Gradient (m) of line A = 2.
The intercept of a graph is the point where the graph of a line crosses either the x-axis or the y-axis on a coordinate plane. Based on the graph of line A, the intercepts are as follows;
x-intercept = (1, 0)
y-intercept = (0, -2)
Gradient (m) of line B = (-4 - 0)/(0 + 1)
Gradient (m) of line B = -4.
x-intercept = (-1, 0)
y-intercept = (0, -4)
For the line y - 6x = 54, the features are as follows;
When x is 0, the y-intercept is given by;
y = 6x + 54
y = 6(0) + 54
y-intercept = (0, 54)
When y is 0, the x-intercept is given by;
0 = 6x + 54
6x = -54
x = -54/6
x-intercept = (-9, 0).
Missing information:
The question is incomplete and the missing graph is shown in the attached picture.