114k views
1 vote
The points ( – 5, – 10) and ( – 6,d) fall on a line with a slope of – 8. what is the value of d?

User Hamza Azad
by
7.4k points

1 Answer

4 votes

Final answer:

To find the value of d, we can use the slope-intercept form of a linear equation. Substitute the given values into the equation to solve for the y-intercept, and then substitute the x-coordinate of the second point to find the value of d.

Step-by-step explanation:

To find the value of d, we need to use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -8 and one point on the line is (-5, -10), we can substitute these values into the equation to solve for b:

-10 = -8(-5) + b

-10 = 40 + b

b = -10 - 40

b = -50

So the equation of the line is y = -8x - 50. Now we can substitute the x-coordinate of the second point (-6) into the equation to find the value of d:

d = -8(-6) - 50

d = 48 - 50

d = -2

Therefore, the value of d is -2.

User Majdi
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories