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1 year ago

Which equation represents the line through (4, 5) and (0, 3)?

Mathematics

1 answer:

morpeh [17]1 year ago

4 0

Answer:

I dont know what options you have but all these are possible answers

y - 5 = 1/2 ( x - 4 )

y - 3 = 1/2 x

y = 1/2 x + 3

Step-by-step explanation:

In order to find the equation you need a slope, so you find the slope of both points by using the slope equstion

y2 - y1 / x2 - x1

and you would get :

$\frac{1}{2}$

now you plug it into the point slope formula which is y - y = m ( x - x )

and you choose one of the two sets of points that they provided in the question but you'll get the same answer either way.

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Write the equation of the line in fully simplified slope-intercept form.

PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

${ \tt{y = mx + c}}$

m is slope
c is y-intercept

 Slope (m):

${ \tt{m = \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\ \\ { \tt{m = \frac{4}{ - 6} }} \\ \\ { \tt{m = - \frac{2}{3} }}$

 y-intercept (c):

${ \tt{y = mx + c}}$

consider point (0, -5)

${ \tt{ - 5 = c}} \\ { \tt{c = - 5}}$

Equation:

${ \boxed{ \tt{y = - \frac{2}{3} x - 5}}}$

8 0

1 year ago

11. please help me outt ill mark you brainlist !

alex41 [277]

I’m not positive, but I think the answer is C because when you look at the big triangle, it looks like you divide each coordinate by 3 (or multiply it by 1/3) to get the small triangle.

e.g. 6 * 1/3 = 2, 3 * 1/3 = 1

8 0

2 years ago

Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fe

insens350 [35]

The equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

<h3>Equation</h3>

There are three basic types of equation in mathematics. Namely:

Linear equations
Quadratic equations
Simultaneous equations

Monthly fee = $50
One-time joining fee = $150
Total cost = C
Number of months = t

C = 150 + 50t

Therefore, the equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

Learn more about equations:

brainly.com/question/2972832

#SPJ1

5 0

1 year ago

PLEASE HELP FAST!!!!!

kap26 [50]

Answer:

See below

Step-by-step explanation:

Given functions

f(x)=8^x
g(x)=8^(x+5) + 1

As we see g(x) = f(x + 5) + 1, which means horizontal translation 5 units left and vertical translation 1 unit up.

Answer options are all incorrect

7 0

2 years ago

Please somebody help me with this please help ASAP

TiliK225 [7]

Step-by-step explanation:

I don't know what your teacher wants to hear here.

can you use and construct certain angles (particularly 90 degrees), can you use compasses ?

for me the best way would be to draw one side as given. then use compasses and draw a half-circle from each end point of the line above the line. both circles have the radius = the given diameter.

then draw the next 2 sides of the square up from the end points of the first line towards the half-circle that was drawn from the other point, so that the end point is exactly on the circle bow. and then connect the engaging endpoints of these 2 sides.

similar for the rectangle.

the only difference is that now for the two sides (which we don't know the length) we need to go up exactly 90 degrees until the lines hit the half-circles.

4 0

2 years ago