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A linear function is represented below.


Which function has a greater y-intercept than the function in the table?

A. y = 4x

B. y = –2x

C. y = –x – 1

D. y = –0.5x + 5


here is the chart it wouldn't let me do a screenshot:

X, Y
-2,-6
0 0
3 9

Sagot :

Fieryanswererftidn

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]

[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]

[tex]\hookrightarrow \sf 3[/tex]

Equation:

[tex]\sf y_1-y= m(x_1-x)[/tex]

[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]

[tex]\hookrightarrow \sf y+6= 3x+6[/tex]

[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]

[tex]\hookrightarrow \sf y= 3x[/tex]  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

  • A = y-intercept : 0
  • B = y-intercept : 0
  • C = y-intercept : -1
  • D = y-intercept : 5

From this D only has the greatest y-intercept than the chart.

Answer:

D

Step-by-step explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

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