Question

1. If a linear function has a slope of 3 and passes through the points (a,-5) and (-2,4a), what is the value of a? 2. Write the equation of g(x) given the table below. X g(x) - 2 -1 1 3 6 12 YAN. 1. N4 stery Quiz Review_Unit 3 Quiz 1.pdf 145 KB VIEW

Answer 1

slope =3

Points : (a,-5) ; (-2,4a)

Slope formula (m):

$m=\frac{y2-y1}{x2-x1}$

Replacing:

$3=\frac{4a-(-5)}{-2-a}$$3(-2-a)=4a-(-5)$$-6-3a=4a+5$

Combine like terms:

$-6-5=4a+3a$$-11=7a$$-\frac{11}{7}=a$