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Mariulka [41]
3 years ago
10

Paul wants to write equations in the form y=mx+b for the lines passing through point D that are parallel and perpendicular to li

ne h. First he finds the slopes of these two lines. What could he do next to find the y-intercepts?

Mathematics
2 answers:
nika2105 [10]3 years ago
4 0

Answer:

First option

Step-by-step explanation:

In y = mx + b, m is the slope and b is the y-intercept

Plug in m, and coordinates of D and solve for b

MatroZZZ [7]3 years ago
3 0

Answer:

Substitute the slope and the coordinate of D into the equations and solve for b for each equation

Step-by-step explanation:

The equation for a line is y = mx+b

where m is the slope and b is the y intercept

We know m

We have a point (x,y)

We can substitute into the equation and solve for b

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The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?
Setler [38]
Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
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Answer:

Step-by-step explanation:

            Statements                                                       Reasons

1). Points A, B and C form the triangle           1). Given

2). Let DE be a line passing through             2). Definition of parallel lines

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4). m∠1 = m∠4 and m∠3 = m∠5                      4). Definition of alternate angles

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