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Find the equation of the line. Use exact numbers.

y = ?x + ?

Find The Equation Of The Line Use Exact Numbers Y X class=

Sagot :

Estheridn

Answer:

[tex]y=-2x+5[/tex]

Step-by-step explanation:

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

I will be using (1,3) and (-1,7) to find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m =\frac{7-3}{-1-1}\\\\m=\frac{4}{-2}\\\\m=-2[/tex]

[tex]y=mx+b[/tex]

[tex]y=-2x+b[/tex]

(1,3)

[tex]y=-2x+b\\3=-2(1)+b\\3=-2+b\\+2 +2\\5=b[/tex]

[tex]y=-2x+5[/tex]

Hope this helps!

View image Esther
Altavistardidn

Answer:

y = -2.4x + 5

Step-by-step explanation:

Note that the y-intercept is (0, 5).

Thus, the framework y = ?x + ?    becomes y = ax + 5.

The x-intercept is (2.5, 0), as seen in the graph.  b = 0.  Then, y = ax + 5 becomes

0 = a(2.5) + 5, which in turn becomes 2.5a = -5.  

Solving for the coefficient a, we get a = -5/2.5, or a = -2, and the equation of the line is thus

y = -2x + 5

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