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Find the slope and y-intercept of the line. Graph the line.

Find The Slope And Yintercept Of The Line Graph The Line class=

Sagot :

Answer:

Graphing the equation we have;

Explanation:

Given the equation;

[tex]x+5y=40[/tex]

the slope of the line can be derived by expressing the equation in slope-intercept form;

[tex]\begin{gathered} 5y=-x+40 \\ y=-\frac{1}{5}x+\frac{40}{5} \\ y=-\frac{1}{5}x+8 \end{gathered}[/tex]

So, the slope and y-intercept are;

[tex]\begin{gathered} \text{slope m = -}\frac{1}{5} \\ y-\text{intercept b = 8} \end{gathered}[/tex]

to graph the equation, let us find the x-intercept;

[tex]\begin{gathered} at\text{ y=0;} \\ x+5y=40 \\ x+0=40 \\ x=40 \\ (40,0) \\ at\text{ x=0;} \\ (0,8) \end{gathered}[/tex]

Graphing the equation we have;

Other points on the graph includes;

[tex]\begin{gathered} at\text{ x=10}; \\ y=-\frac{1}{5}(10)+8=-2+8=6 \\ (10,6) \\ at\text{ x=20;} \\ y=-\frac{1}{5}(20)+8=-4+8=4 \\ (20,4) \end{gathered}[/tex]

View image MaebreeR692545
View image MaebreeR692545
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