Question

What are the slope and y-intercept of the linear function graphed to the left? slope: –2; y-intercept: 2 slope: ; -1/2y-intercept: 1 slope: ; 1/2y-intercept: 2 slope: 2; y-intercept: 1

Answer 1

Answer: The answers is (A) $m=-2,~~c=2.$  and  (B)  $m=-\dfrac{1}{2},~~c=1.$

Step-by-step explanation: We are to select the slope and y-intercept of the linear function that is graphed to the left.

We know that the equation of a straight line in slope-intercept form is given by

$y=mx+c,$

where 'm' is the slope and 'c' is the y-intercept of the line.

Also, a straight line with a positive slope (m>0) rises from left to right whereas a line with a negative slope (m < 0) falls from right to left.

Option (A) is

$m=-2,~~c=2.$

Since 'm' is negative, so the function is graphed to the left.

Option (B) is

$m=-\dfrac{1}{2},~~c=1.$

Since 'm' is negative, so the function is graphed to the left.

Option (C) is

$m=\dfrac{1}{2},~~c=2.$

Since 'm' is positive, so the function is graphed to the right.

Option (D) is

$m=2,~~c=1.$

Since 'm' is positive, so the function is graphed to the right.

Thus, (A) and (B) are the correct options.

Answer 2

Sorry, I got a little confused with your question, but this will definitely help (I hope)
Y=mx+b
m=slope and b=y-intercept
This is just in case: y=range and x=domain(you don’t really need these though)...Best of luck to you:)