Answer/Step-by-step explanation:
✔️Equation for line a:
Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.
In line a, the x-intercept is -4. Therefore, the equation for line a would be:
✅ x = -4
✔️Equation for line b:
Line b is also a vertical line, and would be represented as x = k.
The value of k is the point olwhere the line intercepts the x-axis.
Thus, k = 4.
Equation for line b would be:
✅ x = 4
✔️Equation for line c:
Line c is an horizontal line. Slope (m) of a horizontal line is always 0.
It can be represented in slope-intercept form, y = mx + b, where,
m = slope = 0
b = y-intercept = 4 (this is where the y-axis is intercepted by the line)
Thus, substitute m = 0, b = 4 in y = mx + b.
The equation for line c would be:
y = (0)(x) + 4
✅y = 4
✔️Equation for line d:
Slope (m) = 0
y-intercept (b) = -2
Substitute m = 0, and b = -2 in y = mx + b
Equation for line d awould be:
y = -2
✔️Equation for line e:
Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]
y-intercept (b) = 1
Substitute m = -¾, and b = 1 in y = mx + b
Equation for line e would be:
✅y = -¾x + 1
