Question

Use your understanding of transformations and key features to write the slope-intercept equation of this linear function42210BV-2-6Enter the correct answer in the box by replacing the values of m and b.sin cos tan sin cos" tan- ELANvoCSC seccot log loginLOD= mx + b

Answer 1

The intercept is 5;

The slope of the line is -2.

The equation of the line can be written as;

`f(x)=-2x+5`

Step-by-step explanation:

The equation of a straight line can be written as;

`y=mx+b`

Where;

m = slope

b = intercept

The intercept b is the value of y at x=0, that is the point at which the line intercept the y-axis.

From the graph the line intercept the y-axis at y=5, So the intercept is 5;

`b=5`

The slope of the equation can be derived by picking two points on the graph;

`m=(y_2-y_1)/(x_2-x_1)`

picking the y and x intercept of the line;

`(0,5)\text{ and }(2.5,0)`

Calculating the slope we have;

`\begin{gathered} m=(0-5)/(2.5-0) \\ m=(-5)/(2.5) \\ m=-2 \end{gathered}`

The slope of the line is -2.

The equation of the line can be written as;

`f(x)=-2x+5`