function a and function b are linear functions. function a graph of a linear - function on a coordinate…

function a and function b are linear functions. function a graph of a linear - function on a coordinate - plane. function b y = 3/5x + 5. select all the statements that are true. the slope of function a is equal to the slope of function b. the slope of function a is greater than the slope of function b. the y - value of function a when x = - 10 is less than the y - value of function b when x = - 10. the y - value of function a when x = - 10 is equal to the y - value of function b when x = - 10.

function a and function b are linear functions. function a graph of a linear - function on a coordinate - plane. function b y = 3/5x + 5. select all the statements that are true. the slope of function a is equal to the slope of function b. the slope of function a is greater than the slope of function b. the y - value of function a when x = - 10 is less than the y - value of function b when x = - 10. the y - value of function a when x = - 10 is equal to the y - value of function b when x = - 10.

Answer

Explanation:

Step1: Find the slope of Function A

The line of Function A passes through the origin ((0,0)) and another point ((10,5)). Using the slope - formula (m=\frac{y_2 - y_1}{x_2 - x_1}), we have (m_A=\frac{5 - 0}{10 - 0}=\frac{1}{2}).

Step2: Identify the slope of Function B

The equation of Function B is (y=\frac{3}{5}x + 5), and its slope (m_B=\frac{3}{5}=0.6). Since (\frac{1}{2}=0.5) and (0.5<0.6), the slope of Function A is less than the slope of Function B.

Step3: Find the y - value of Function A when (x=-10)

The equation of Function A is (y = \frac{1}{2}x) (because it's a linear function passing through the origin with slope (\frac{1}{2})). When (x=-10), (y_A=\frac{1}{2}\times(-10)=-5).

Step4: Find the y - value of Function B when (x = - 10)

Substitute (x=-10) into (y=\frac{3}{5}x + 5). Then (y_B=\frac{3}{5}\times(-10)+5=-6 + 5=-1). Since (-5<-1), the (y) - value of Function A when (x=-10) is less than the (y) - value of Function B when (x=-10).

Answer:

The slope of Function A is less than the slope of Function B; The (y) - value of Function A when (x=-10) is less than the (y) - value of Function B when (x=-10)