Question

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

Answer 1

A) -1

B) y = -x + 5

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)=(y_2-y_1)/(x_2-x_1)=(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`