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Usimov [2.4K]
3 years ago
11

Which can be the first step in finding the equation of the line that passes through the points (5,-4) and (-1,8) in slope-interc

ept form?
Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0

 

<span>Hello : let  A(5,-4)    B(-1,8)
the slope is :   (YB - YA)/(XB -XA)
(8+4)/(-1-5)  =-2
an equation is : y=ax+b     a is a slope</span>

y = -2x +b

 

the line through point  A(5,-4) :  -4= -2(5)+b<span>
<span>b = 6
the equation is : y =-2x+6</span></span>

gregori [183]3 years ago
3 0

Answer:

The first step is to find the gradient of the lines and the equation of the line is y = -2x + 6

Step-by-step explanation:

Given

Point 1 = (5,-4)

Point 2 = (-1,8)

Gradient, m = ∆y/∆x

∆y = y2 - y1

Where y2 = 8 and y1 = -4

∆y = 8 - -(4)

∆y = 8 + 4

∆y = 12

∆x = x2 - x1

Where x2 = -1 and x1 = 5

∆x = -1 - 5

∆x = -6

So, gradient, m = ∆y/∆x

m = 12/-6

m = -2

Calculating the equation of the line;

y - y1 = m(x - x1)

Or

y - y2 = m(x - x2)

Using any of the coordinates

Using first coordinate;

Point 1 = (5,-4)

x1 = 5 and y1 = -4

y - y1 = m(x - x1) becomes

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

y + 4 = -2x + 10

Make y the subject of formula

y = -2x + 10 - 4

y = -2x + 6

Using the second coordinates

Point 2 = (-1,8)

Where y2 = 8 and x2 = -1

y - y2 = m(x - x2) becomes

y - 8 = -2(x - (-1))

y - 8 = -2(x + 1) -- open bracket

y - 8 = -2x -2 -- make y the subject of formula

y = -2x - 2 + 8

y = -2x + 6

Hence, the equation of the line is

y = -2x + 6

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Rashid [163]

Point slope form:

y - y1 = m(x - x1) where m = slope and coordinate point (x1, y1)

In this case  y+2= 3(x-7), slope = 3 and a coordinate point (7, -2)

Answer is D

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8 0
3 years ago
Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?
Sergeu [11.5K]

Answer:

Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)

Step-by-step explanation:

Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize

You can also determine the equation of the linear function as then graph both equations on the graph tool

<u>Finding gradient m</u>

Given (0,6) and (1,3)

m=change in value of y/change in value of x

m=\frac{3-6}{1-0} =\frac{-3}{1} =-3

Finding the equation of the linear function

Taking points (2,0)   and (x,y)

m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6

From the graph,they intersect at

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5 0
3 years ago
Read 2 more answers
How would you write 87 as a Roman numeral?
ddd [48]

Answer:

LXXXVII

Step-by-step explanation:

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So basically you need to figure out what adds up to the 87. so use L, or 50. now XXX=30. so now you have 80 so we still have 7 left over, so we can write 7 I's or a 5, (V) and two I's. We should use the V and the I. So we take one V, or 5. and two I's which together is 7. which leads us too LXXXVII. also always remember to have the biggest number first, in this case the L (50).

7 0
3 years ago
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Minchanka [31]

Answer:

C

Step-by-step explanation:

Rather than picking, let's try to construct one from the description.

reflected over the x axis means -\sqrt{x}

the vertex is usually at (0,0), now how do we move a graph?  or in other words  translating it.

To move left and right you use \sqrt{x-h} where if you subtract h you move right and if you add h you move left.  we go from (0,0) to (-4,2).  so 0 to -4 is 4 left, so that means we add 4.

To move up and down we use \sqrt{x}+v Here if v is positive you move up and if v is negative you move down.  going from (0,0) to (-4,2) it moves up 2

So now we put them all together -\sqrt{x+4}+2  And if you look, C matches that exactly.

6 0
3 years ago
If 3t - 7 = 5t, then 6t =
STALIN [3.7K]

Answer:

-21 = 6t

Step-by-step explanation:

3t - 7 = 5t

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Multiply each side by 3 to get 6t

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-21 = 6t

6 0
3 years ago
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