Question

use a graphing utility to graph the equation below. then use the trace feature to trace along the line and find the coordinates of two points. use these points to compute the lines slope. check the result by using the coefficient of x in the lines equation.

( y = \frac { 2 } { 5 } x + 4 )

choose the correct graph below.

(the graphs are shown in ( - 10,10,2 ) by ( - 10,10,2 ) viewing rectangles.)

two points on the graph are ( ( - 4, square ) ) and ( ( 1, square ) ).
(type integers or decimals.)

Explanation:

Step1: Find \( y \) - value when \( x=-4 \)

Substitute \( x = - 4 \) into \( y=\frac{2}{5}x + 4 \).

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Step2: Find \( y \) - value when \( x = 1 \)

Substitute \( x=1 \) into \( y=\frac{2}{5}x + 4 \).

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Step3: Calculate the slope \( m \)

Use the slope formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \), let \( (x_1,y_1)=(-4,2.4) \) and \( (x_2,y_2)=(1,4.4) \)

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Answer:

Two points on the graph are \((-4,2.4)\) and \((1,4.4)\). The slope of the line is \(\frac{2}{5}\), which is equal to the coefficient of \(x\) in the equation \(y=\frac{2}{5}x + 4\)