5

If a linear function has the points (-7,9) and (4,1) on its graph, what is the rate of change of the function? Or Dor Select the correct choice below and, if necess...

Question

If a linear function has the points (-7,9) and (4,1) on its graph, what is the rate of change of the function? Or Dor Select the correct choice below and, if necessary; fill in the answer box to complete your choice. owe abin Comi 0 A_ The rate of change is (Type an integer or a simplified fraction ) Powel There is no solution 'Cabir Comr Powel Cabin

If a linear function has the points (-7,9) and (4,1) on its graph, what is the rate of change of the function? Or Dor Select the correct choice below and, if necessary; fill in the answer box to complete your choice. owe abin Comi 0 A_ The rate of change is (Type an integer or a simplified fraction ) Powel There is no solution 'Cabir Comr Powel Cabin



Answers

The graph of a linear function $f$ is given.
a. Find the rate of change of $f$ b. Express $f$ in the form $f(x)=a x+b$

I'm given good off. We have to find the rate of change and this law. So to find Slope class, let's consider the equation off explains Be here. Have to find Slope. Let's consider 2.0 comma four and two comma zero. So to find a this substitute is equal. Do my dorm minus y, even by extra minus X one. So that's equal to zero minus four by Tu minus zero minus four by dough that is equal to minus two. No substituting little coma for in the mission. So four is it will do in zero minus. Let's be so four is equal to be since we have so the function well with, um, minus two weeks left foot.

We have to find a false tracks is equal. Do the X Plus B and find the value off A and B To find the slope. He we have to consider Du Bois. Let's consider the two points to be zero Comotto and four comma zero. So consider the safe mission That's fine. Uses Righto minus y one by six to minus six months. That is equal toe little minus two by four minus zero letters minus two by four This give us minus one. By that this is E. And to find me subsidies zero comma do in the equation. So does equal toe into zero. Please be so basically toe to find for fixed Does he explains, Be so that is minus one my two x less

The final function and for fixes equal do X plus B from the given grass. It's considered two points, with zero comma minus one and Tacoma zero. So to find a it is why don't minus one by extreme minus X. So that is zero plus one by two minus zero. So that is one by two To find B. Let's substitute zero comma minus one in ffx is equal, very explosive. Be so that you become minus one is a balloon into zero plus B and B is equal to minus one. No to fight before fixed. Let's substitute the lives that is one my two x minus one So that is X minus two by

Way have the function A of R equals negative 2/3 ar minus one part A. We need to sketch this graph. Think about intercepts. We have a why intercept of negative one. Because in this format a X plus b r B value is negative one. We can find the X intercept by plugging in zero for the function and figuring out what value of our will give us that. So add one to both sides. Multiply by, um, has negative three halves and it would be the point Negative three halfs or negative 1.5 zero and connect those two intercepts. And that is your sketch of a of our depart be identified. The slope, the slopes What? We're multiplying the variable, um with So the slope is negative 2/3 and the rate of change in a linear function is the same as the slow. So it is also negative 2/3


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