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The graph of linear function g passes through the points (-7, -4) and (7, 6)

The Graph Of Linear Function G Passes Through The Points 7 4 And 7 6 class=

Sagot :

charliethebest2002

Answer:

C. The slope is 5/7, and the y-intercept is 1.

Step-by-step explanation:

You must solve the slope-intercept form with the graph of the linear function g passing through the points.

Use the slope-intercept form.

[tex]\underline{\text{SLOPE-INTERCEPT FORM:}}[/tex]

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

  • M= slope
  • B= y-intercept.

Use the slope formula.

[tex]\underline{\text{SLOPE:}}[/tex]

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

(-7,-4) and (7,6)

  • y2=6
  • y1=(-4)
  • x2=7
  • x1=(-7)

[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}[/tex]

Solve.

[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}[/tex]

  • Therefore, the slope is 5/7 and y-intercept is 1.
  • The correct answer is C. "The slope is 5/7, and the y-intercept is 1."

I hope this helps. Let me know if you have any questions.

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