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3 years ago

What is an equation of the line that passes through the points (-6, -5) and (-3,0)? Put your answer in fully reduced form.

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

Answer:

y = 5/3x +5

Step-by-step explanation:

The two-point form of the equation of a line is useful here.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (0 -(-5))/(-3 -(-6))(x -(-6)) -5

y = 5/3(x +6) -5

y = 5/3x +5 . . . . slope-intercept form

5x -3y = -15 . . . .standard form

_____

There is no "fully reduced" form of the equation of a line. There are slope-intercept form, point-slope form, two-point form, standard form, general form, intercept form, and some others. We assume that "fully reduced" applies to any fractions in the equation. The "slope-intercept" form has a fraction, so perhaps that's the form that is required.

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3 years ago

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3 years ago

What is 3n-2/5=7/10 solve please

Tems11 [23]

Answer: $\bold{n=\dfrac{11}{6}}$

<u>Step-by-step explanation:</u>

$\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\$

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3 years ago

What is an equation of the line that passes through the points (-6, -5) and (-3,0)? Put your answer in fully reduced form.​

What is an equation of the line that passes through the points (-6, -5) and (-3,0)? Put your answer in fully reduced form.