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3 years ago

2y-8+4y what is equal to this please help thanks

Mathematics

1 answer:

Nitella [24]3 years ago

8 0

Answer:

$6y - 8$

$2(3y - 4)$

Step-by-step explanation:

The given expresion is 2y-8+4y.

We want to find an expression that is equal to 2y-8+4y.

We need to group like terms to obtain:

$2y + 4y - 8$

We can now combine the like terms to get:

$2y + 4y - 8$

$6y - 8$

We can factor 2 to obtain:

$2(3y - 4)$

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3 years ago

A line passes through the point (0, 2) and has a slope of -1/4 What is the equation of the line?

maw [93]

Answer:

The required equation is x + 4y = 8 !!

Step-by-step explanation:

Given :-  the line passes through the point ( 0 , 2 ) and the slope of the line is ( -1/4 )

• Also, to form an equation when a point through which line passes and slope of line is given we use the formula ;

( y - y1 ) = m ( x - x1 )

Where , y and x are variables

and ( x1 , y1 ) are the points through which line passes

also, m = slope of the required line

Here , x1 = 0 , y1 = 2 and m = ( -1/4 )

[ Refer to the attached file for further process ]

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3 years ago

Write the slope intercept form of the equation of the line through the given points x intercept of -5 and y intercept of -1. Pls

soldier1979 [14.2K]

bearing in mind that an x-intercept is when the graph touches the x-axis and when that happens y = 0, and a y-intercept is when the graph touches the y-axis and when that happens x = 0.

$\bf \underset{x-intercept}{(\stackrel{x_1}{-5}~,~\stackrel{y_1}{0})}\qquad \underset{y-intercept}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{-1})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-5)}}}\implies \cfrac{-1}{0+5}\implies -\cfrac{1}{5}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{1}{5}}[x-\stackrel{x_1}{(-5)}] \\\\\\ y=-\cfrac{1}{5}(x+5)\implies y = -\cfrac{1}{5}x-1$

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