zaniyahgarvin8
zaniyahgarvin8 zaniyahgarvin8
  • 11-05-2022
  • Mathematics
contestada

A line that includes the point (–1,4) has a slope of 1/4. What is its equation in SLOPE-INTERCEPT form?

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 11-05-2022

Answer:

[tex]y=0.25x+4.25[/tex]

Step-by-step explanation:

Step 1:  Determine the two forms

Point Slope Form → [tex](y-y_1)=m(x-x_1)[/tex]

Slope Intercept Form → [tex]y=mx+b[/tex]

Step 2:  Plug into point slope form

[tex](y-4)=0.25(x-(-1))[/tex]

[tex]y-4=0.25(x+1)[/tex]

Step 3:  Convert to slope intercept form

[tex]y-4+4=0.25x + 0.25+4[/tex]

[tex]y=0.25x+4.25[/tex]

Answer:  [tex]y=0.25x+4.25[/tex]

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