The graph of a linear function f is shown. (a) Identify the slope...

Question

The graph of a linear function f is shown. (a) Identify the slope, y-intercept, and x-intercept. (b) Write an equation that defines f.

Graph of a linear function showing slope, y-intercept, and x-intercept.

Accepted Answer

Determine the X intercept Y intercept and slope with a line whose graph is shown also write a linear function F that represents the line. You know, here we have a graph with a line and we can find a couple of points on this line to find everything we need. Look here we have a point pets five, negative two. You also have a point on the left side. X two, Y two as negative four, negative four. We can find a slope between these two points by taking the equation M equals Y two minus Y one divided by X two minus X one R Y two is negative four. Y one is negative two C of negative four minus negative two, all divided by negative four minus five. We can simplify this to get negative two divided by negative nine, which gives us two nights as our slope. Now, we can set up an equation of our line by taking point slope form of a line Y minus Y one equals M multiplied by X minus X one R Y one is native two. So Y minus native two equals tons multiplied by X minus five. We get Y plus two equals two nights multiplied by X minus five, which we can simplify. Now by multiplying our two nights to both the X and the negative five, giving us two nights X minus 10 divided by nine. Finally, we subtract to from both sides ticket two nights X minus divided by nine. We want this in terms of F of X, we will say F of X equals our equation. Now, we can use this equation to find our X and Y intercepts for our X intercept. We want the function value point Y is equals to zero. In other words, the X value point Y is equals to zero zero equals two X X minus 28 divided by nine. We can move our 28/9 to the other side. The 28 divided by nine equals to N X multiply both sides by nine to get equals to X or X equals 14. You can also find R Y intercept by letting X equal zero. If Y equals two nights multiplied by zero minus divided by nine, which gives us negative 28 divided by nine. We now have our slope two nights. Our equation two minus X minus 28 divided by nine R X intercept 14 and R Y intercept na 28 divided by nine. We didn't notice our answer. His answer is C OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

The graph of a linear function f is shown. (a) Identify the slope, y-intercept, and x-intercept. (b) Write an equation that defines f.

Key Concepts

Slope

Intercepts

Linear Equation

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