Which points are on the graph of a linear function? Select all that apply

Question

asked Jul 27, 2023 131k views

1 Answer

Mikijov · Answer 1 · 2023-07-30T15:48:06+0000

We will determine the points that belong to a linear function as follows:

*First set: We calculate the slope of the three points:

$m_1=(5-7)/(0-(-1))\Rightarrow m_1=-2$
$m_2=(3-7)/(1-(-1))\Rightarrow m_2=-2$

So, the first set belongs to a linear function.

*second set:

$m_1=(0-1)/(0-(-1))\Rightarrow m_1=-1$
$m_2=(1-1)/(1-(-1))\Rightarrow m_2=0$

So, the second set does not belong to a linear function.

*Third set:

$m_1=(5-5)/(2-0)\Rightarrow m_1=0$
$m_2=(14-5)/(3-0)\Rightarrow m_2=3$

So, the third set does not belong to a linear function.

*Fourth set:

$m_1=(5-(-3))/(2-0)\Rightarrow m_1=4$
$m_2=(13-(-3))/(4-0)\Rightarrow m_2=4$

So, the fourth set belongs to a linear function.