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Answered

point (3,-4) and a slope of 3​

Sagot :

ROBBIERAVENCLAWIN

Answer:

The equation of the line in slope-intercept form:

  • [tex]\LARGE\text{\boldsymbol{y=3x-13}}[/tex]

The equation of the line in standard form:

  • [tex]\LARGE\text{\boldsymbol{3x-y=13}}[/tex]

Step-by-step explanation:

For the y-intercept (b)

Given:   [tex](3,-4)[/tex],   [tex]m=3[/tex]

Find:   [tex]b=?[/tex]

Formula:   [tex]y=mx+b[/tex]

Solution:

[tex]y=mx+b\\-4=3(3)+b\\-4=9+b\\-4-9=b\\\boldsymbol{b=-13}[/tex]

Equation of the line in slope-intercept form:

Given:   [tex]m=3[/tex],   [tex]b=-13[/tex]

Solution:

[tex]y=mx+b\\\boxed{\boldsymbol{y=3x-13}}[/tex]

Equation of the line in standard form:

Given:   [tex]m=3[/tex],   [tex]b=-13[/tex]

Solution:

[tex]y=mx+b\\y=3x-13\\-3x+y=-13\\\frac{-3x}{-1}+\frac{y}{-1}=\frac{-13}{-1}\\\boxed{\boldsymbol{3x-y=13}}[/tex]

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