The equation of line S is y = 8x − 7 .
Parallel to line S is line T , which passes through the point (–1, 1) .
What is the equation of line T ?

Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

y = 8x + 9

Step-by-step explanation:

Parallel lines have the same gradient,

So m = 8

y = 8x + c

When x = -1 ,y = 1

1 = 8(-1) + c

c = 9

y = 8x + 9

y = 8x + 9

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept.

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line S is

y = 8x - 7

Comparing with the slope intercept form, slope = 8

If two lines are parallel, it means that they have the same slope. Therefore, the slope of line T passing through (- 1, 1) is 8

To determine the intercept, we would substitute m = 8, x = - 1 and

y = 1 into y = mx + c. It becomes

1 = 8 × - 1 + c

1 = - 8 + c

c = 1 + 8 = 9

The equation becomes

y = 8x + 9

The distributive property says that these two totals would be the same.

Step-by-step explanation:

Joey buys 3 avocados for $0.40 each and 5 lemons for $0.40 each. The cashier in training rings up 3 × 0.40 and then 5 × 0.40 to get the total.

Total is :

= $3.20

Here it is distributive property being used.

The experienced cashier says to add the 3 plus 5 in his head and then ring up 8 × 0.40.

Total is :

= $3.20

Now, both the totals are equal.

Hence, here the distributive property says that these two totals would be the same.

Note: Actually its inverse of distributive property, but still its distributive.