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

1 If a linear function has a slope of 3 and passes through the points a5 and 24a what is the value of a 2 Write the equation of gx given the table below X gx 2 class=

Respuesta :

slope =3

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

Slope formula (m):

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Replacing:

[tex]3=\frac{4a-(-5)}{-2-a}[/tex][tex]3(-2-a)=4a-(-5)[/tex][tex]-6-3a=4a+5[/tex]

Combine like terms:

[tex]-6-5=4a+3a[/tex][tex]-11=7a[/tex][tex]-\frac{11}{7}=a[/tex]