Answer:
a. y = 0
b. x = 0
c. y = x
d. y = -x
Explanation:
a. Since it is a horizontal line, its gradient does not change so its gradient shall remain as 0. Thus, y = 0x which is basically y = 0.
b. Since it is a vertical line, it is impossible to define its gradient or y-intercept but its x-intercept would always be at 0 so x = 0.
c. Since it is a line that is gradually getting higher across the x-axis, its gradient would be 1. It's y-intercept is 0 so the equation of this line would be y = 1x + 0, which is basically y = x. (We don't write 1x, but rather just x, putting zeros behind an equation is redundant)
d. Since it is a line that is gradually getting lower across the x-axis, its gradient would be -1. It's y-intercept is also 0 so the equation of this line would be y = -1x + 0, which is basically y = -x ((We don't write -1x, but rather just -x, putting zeros behind an equation is redundant)