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3 years ago

Find an equation in slope-intercept form for the line with slope -3/4 and y-intercept = 0

Mathematics

2 answers:

Lorico [155]3 years ago

4 0

Slope-intercept form: y = mx + b

The equation in <em>slope-intercept form</em> is y = -3/4x + 0 or y = -3/4x

<em>Hope this helps! :) -from peachimin</em>

love history [14]3 years ago

3 0

The slope intercept form:

y = mx + b

m - slope

b - y-intercept

We have: $m=-\dfrac{3}{4},\ b=0$

Therefore we have the equation:

$y=-\dfrac{3}{4}x+0\to\boxed{y=-\dfrac{3}{4}x}$

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3 years ago

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tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

$\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill$

$\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}$

6 0

3 years ago

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round t

Fantom [35]

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

$= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]$

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

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3 years ago