Question

What is the equation of the line that has a slope of 5 and passes through the point (4,7)?

A.y−5x=11
B.7y=5x+4
C.y+13=5x
D.y+5x=3

Answer 1

Option C

The answer is y + 13 = 5x

Explanation:

Here, (4,7)

x = 4

y = 7

m = 5

Now,

y = mx + b

7 = 5(4) + b

7 = 20 + b

b = 7 - 20

b = - 13

Now,

y = mx + b

y = 5x - 13

y + 13 = 5x

Thus, The answer is y + 13 = 5x

-TheUnknownScientist

Answer 2

c. y + 13 = 5x

Explanation:

y = 5x + b

7 = 5(4) + b

7 = 20 + b

-13 = b

y = 5x - 13

y + 13 = 5x