Mathematics, 27.06.2019 18:10 asiaboo37

write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, giver
slope form is y+1 = (x-8)

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Answer from: dsaefong00

2x - 3y = 19

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (8, -1) and (2, -5). Substitute:

$m=\dfrac{-5-(-1)}{2-8}=\dfrac{-4}{-6}=\dfrac{2}{3}$

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

Substitute:

$y-(-1)=\dfrac{2}{3}(x-8)$

$y+1=\dfrac{2}{3}(x-8)$ → the point-slope form

Convert to the standard form: Ax+By=C

$y+1=\dfrac{2}{3}(x-8)$ multiply both sides by 3

3y+3=2(x-8) use the distributive property a(b+c) = ab+ ac

3y+3=2x-16 subtract 3 from both sides

3y=2x-19 subreact 2x from both sides

-2x+3y=-19 change the signs

2x-3y=19 → the standard form

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

step-by-step explanation:

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write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, g...

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