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3 years ago

What is the equation of the two points 3,5 and 5,0

Mathematics

1 answer:

DiKsa [7]3 years ago

6 0

Answer:

The equation of the line is y = -5/2x + 25/2

Step-by-step explanation:

To find the equation of the line, we first need the slope. We can get that by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(3 - 5)

m = (5)/(-2)

m = 5/-2

m = -5/2

Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 0 = -5/2(x - 5)

y = -5/2x + 25/2

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3 years ago

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insens350 [35]

Answer:

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Step-by-step explanation:

Here, the given system of equations is:

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Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,

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$\blue{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}}$

Find the value of x.

$\orange{\underline{\huge{\bold{\textit{\green{\bf{FORMULA}}}}}}}$

SUM OF ANGLES ON STRAIGHT LINE = 180°

$\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}$

$ANGLES\: R :-( x - 10)°,(3x + 25)°,(x + 5)°, \\ \\ ( x - 10)° + (3x + 25)° + (x + 5)° = 180 \\ 5x + 20 = 180 \\ 5x = 160 \\ x = \frac{160}{5} \\ x = 32° \\$

$\red{ANGLES R :-} \\ \pink{( x - 10)° = 32 - 10 = 22°} \\ \blue{ (3x + 25)° = 32 \times 3 + 25 = 96 + 25 = 121°}\\ \orange{(x + 5)° = 32 + 5 = 37°}$

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