Question

m=4 and the point is (3,10), what is the correct substitution (y=mx+b) and the value of b? a. 3=10(4)+b; b=11 b. 10=3(4)+b; b=12 c. 10=4(3)+b; b=-2 d. 10=4(3)+b; b=3

Answer 1

c. 10=4(3)+b; b=-2

Explanation:

When given a single point (x1, y1)

The Equation of a line formula is given as:

y - y1 = m(x - x1)

From the question

m=4

the point is (3,10),

Hence, Equation of the line is

y - 10 = 4(x - 3)

y - 10 = 4x - 12

y = 4x - 12 + 10

y = 4x - 2

Hence, the correct substitution (y=mx+b)

10 = 4(3) + b

b = -2

Option C is the correct option