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

Answer:

The intercept is 5;

The slope of the line is -2.

The equation of the line can be written as;

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

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;

$m=\frac{y_2-y_1}{x_2-x_1}$

picking the y and x intercept of the line;

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

Calculating the slope we have;

$\begin{gathered} m=\frac{0-5}{2.5-0} \\ m=\frac{-5}{2.5} \\ m=-2 \end{gathered}$

The slope of the line is -2.

The equation of the line can be written as;

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