Answer:
A = 4 B = -2
Step-by-step explanation:
To find the gradient of the line (A) pick any 2 sets of coordinates and substitute them into the formula:
[tex]\frac{y_2-y_1}{x_2-x_1} [/tex]
So if we choose the first 2 coordinates (-2, -10) and (0, -2):
[tex]\frac{-2--10}{0--2} =4[/tex]
Therefore, the gradient of the line (A) is 4.
The intercept is the y-intercept, so when x = 0. Looking at the table, y = -2 when x = 0. Therefore, the y-intercept (B) is -2.
So the final equation of the line is: y = 4x - 2
To check, plug a value of x from the table into the equation and see if you get the correct value of y.
