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 a downward slope with intercepts marked.

Accepted Answer

Determine the X intercept, Y intercept. And the slope of the line whose graph is shown also write a linear function F that represents the line. Now, we noticed here, our line crosses through both the X axis and the Y axis. So right off the bat, we can find our X intercept and Y intercept or intercept will be the point where it crosses the X axis or X equals two Y intercepts will be where it crosses the Y axis, which is Y equals seven. Now, we can make use of these points to make our slope, writing our intercepts points gives us the 0.20. And the 0.7, the equation for slope, it's M equals to Y two minus Y one divided by X two minus X one, Y 27, Y one and zero X two is zero and X one is two. We get seven divided by negative two or negative seven halves. Now, we can make use of point slope form to write our function point slope form is given by Y minus Y one equals M multiplied by X minus X one. Let's use the 0.20. We would give Y minus zero equals negative seven halves multiplied by X minus two. That gives us Y equals negative of seven halves, multiplied by X minus two. So here we can distribute our negative seven halves. We will then get Y equals negative seven half, X plus seven. You want it. In terms of F of X, we will say F of X equals negative seven halves, X plus seven. Now we have X intercept, X equals two, Y intercept Y equals seven slope, negative seven halves and F of X equals negative seven has X plus seven. If you look at our possible answers, our answer is answer A 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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