Question

Please help! ignore the rest.......................................

Answer 1

Answer:

A)  -1

B)  y = -x + 5

Step-by-step explanation:

Part A

Define the two points:

$\textsf{let}\:(x_1,y_1)=(3,2)$

$\textsf{let}\:(x_2,y_2)=(4,1)$

Substitute the defined points into the slope formula and solve for m:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-2}{4-3}=-1$

Part B

Substitute the found slope and one of the points into the point-slope form of linear equation:

$\implies y-y_1=m(x-x_1)$

$\implies y-2=-1(x-3)$

Rearrange so that it is in slope-intercept form:

$\implies y-2=-x+3$

$\implies y=-x+5$