Question

What is a point on this line?

Answer with ordered pair with parentheses, comma, and one space in between numbers
y + 6 = 4/5(x + 3)
(_ , _)

Answer 1

Answer: (-3, -6)

Step-by-step explanation: You get this answer because the line is written in point slope form. Point slope form is

y - [y-value of point] = [slope] (x - [x-value of point])

In this case, the blanks are -6 and -3 (remember that in point slope form it is negative and then the point, and because the line shows positive numbers, and because a negative negative of something is positive, the numbers are negative). Putting the into terms of x and y, x = -3 and y = -6, so your ordered pair is (-3, -6).

Answer 2

(0, -18/5)

Explanation:

To find a point on the line
`\sf y + 6 = (4)/(5)(x + 3)`, we can choose a value for x and then solve for y.

Let's choose x = 0.

Substituting this into the equation, we get:

`\sf y + 6 = (4)/(5)(0 + 3)`

`\sf y + 6 = (4)/(5) (3)`

`\sf y + 6 = (12)/(5)`

`\sf y = (12)/(5) - 6`

`\sf y = (12- 30)/(5)`

`\sf y = (18)/(5)`

Therefore, one point or y-intercept on the line is (0, -18/5).