Question

Here are 5 lines on a coordinate grid:

Write equations for lines a,b,c,d and e


a:

b:

c:

d:

e:​

Answer 1

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) =
`(rise)/(run) = -(3)/(4)`

y-intercept (b) = 1

Substitute m = -¾, and b = 1 in y = mx + b

Equation for line e would be:

✅y = -¾x + 1