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3 years ago

Select the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4

Mathematics

2 answers:

saveliy_v [14]3 years ago

5 0

Answer:

The equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:

$y=5x+2$

Step-by-step explanation:

Given the equation

$y = 5x + 4$

Here the slope is:

$m=5$

as comparing with the $y=mx+b$ , which is the slop-intercept form where m is the slope and b is the y-intercept.

As we know the point-slope form is

$y-y_1=m\:\left(x-x_1\right)$

$y-7=5\left(x-1\right)$

Add 7 to both sides

$y-7+7=5\left(x-1\right)+7$

$y=5x+2$

Therefore, the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:

$y=5x+2$

VladimirAG [237]3 years ago

3 0

Answer:

Step-by-step explanation:

it has to have to same slope as the first equation so you have y=5x+b then what you do is plug in the points and solve for b. which gives you 2. so your final equation is y=5x+2

7=5+b

-5 -5

2=b

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$\bold{\huge{\underline{ Solution\: 2 }}}$

The name of the circle is IJKL
The name of central Angle
$\sf{\underline{= {\angle} IHJ }}$
The name of the secant = KL

${\bigstar}$ Circle :- It is a round figures, which has no end points.

${\bigstar}$ Central angle :- It the angle ,which lie in the middle of the circle.

Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

${\bigstar}$ Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

$\bold{\huge{\underline{ Solution\: 3 }}}$

Semicircle = FGH and FIH
Minor Arc :- FG or GH
Major Arc :- FHG or GFH

${\bigstar}$ Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram 

FGH and FIH are acting as two semicircles which simulatineously forming one circle.

${\bigstar}$ Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here, 

FG or GH are the minor arc of the given circle.

${\bigstar}$ Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here, 