Question

Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to complete an equation for each line. On a coordinate plane, lines d, e, and f are parallel. Line d goes through (0, negative 3) and (negative 1, 0). Line e goes through (negative 1, 2) and (0, negative 2). Line f goes through (0, 2) and (1, negative 1). CLEAR CHECK Equation for line d: y=−3x − Equation for line e: y = x − Equation for line f: y = x +

Answer 1

Answer:

Line d : y = -3x - 3

Line e : y = -3x - 2

Line f  : y= -3x + 2

Step-by-step explanation:

Given that,

The slope of each line is -3.

Now,

We know that,

Equation of line is represented by y = mx + c

where m is the slope and c is the y-intercept.

Now,

Given that,

Line d goes through (0, - 3) and (- 1, 0).

So,

y-intercept of Line d is -3

∴ we get

Equation of Line d is : y = -3x -3

Now,

Given that,

Line e goes through (-1, 2) and (0, -2).

So,

y-intercept of Line e is -2

∴ we get

Equation of Line e is : y = -3x - 2

Now,

Given that,

Line f goes through (0, 2) and (1, -1).

So,

y-intercept of Line e is 2

∴ we get

Equation of Line f is : y = -3x + 2