A line that includes the points ( – 4, – 6) and (d,4) has a slope of 10 7 . What is the value of d?

Answer 1

slope = 10/7 = (4+6)/(d+4)= 10/(d+4)

d+4 = 7

d= 3

Answer 2

Hi Navaeh,

Is slope 10/7 or 10.7? It isn't clear from your post. Formula to compute d is the same either way:

m= (y₂-y₁)/(x₂-x₁)

m=slope

x₁=First x coordinate

x₂=Second x coordinate

y₁=First y coordinate

y₂=Second y coordinate

Assuming the slope was 10/7:

m=10/7

x₁= -4

x₂= d

y₁= -6

y₂₌ 4

Thus:

10/7= (4--6)/(d--4)

Simplifying:

10/7= 10/(d+4)

Numerators are identical, so we solve for d using denominators:

d + 4= 7

Subtract 4 on both sides:

d=3

Now, if slope is 10.7, all values are the same except m:

10.7= (4--6)/(d--4)

10.7=10/(d+4)

Multiply both sides by (d+4):

10.7(d+4)=10

Divide both sides by 10.7:

10/10.7=d+4

0.935=d+4

Subtract 4 on both sides:

d= -3.065

I hope this helps.