MATH SOLVE

8 months ago

Q:
# A relation is plotted as a linear function on the coordinate plane starting at point A (0, 3) andending at point B (2,7)What is the rate of change for the linear function and what is its initial value?Select from the drop-down menus to correctly complete the statements.The rate of change is Choose..._____and the initial value is Choose_____

Accepted Solution

A:

Answer:Part 1) The rate of change is 2Part 2) The initial value is 3Step-by-step explanation:we know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slope or unit rate of the linear equationb is the y-intercept Remember that in a linear equation the rate of change is a constant and is equal to the slope and the initial value is equal to the y-intercept (value of y when the value of x is equal to zero)step 1Find the slopewe have the coordinatesA(0,3) and B(2,7)The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]substitute in the formula[tex]m=\frac{7-3}{2-0}[/tex][tex]m=\frac{4}{2}=2[/tex]thereforeThe rate of change is 2step 2Find the y-intercept or initial valueRemember that the y-intercept is the value of y when the value of x is equal to zeroIn this problem the y-intercept is givenThe y-intercept is the point A(0,3)so[tex]b=3[/tex]thereforeThe initial value is 3