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Ierofanga [76]
3 years ago
10

at what point does a line with a slope of 3/4 and a y- intercept of -5 intersect a line with a slope of -1/4 and a y- intercept

of 3?

Mathematics
2 answers:
alexira [117]3 years ago
6 0

Answer:

(8,1)

Step-by-step explanation:

I don't know how you are supposed to answer this, there are several methods.  I will use the earliest algebraic method I know, if you were supposed to do this graphically then you should graph these lines on graph paper and see where they cross

line 1: y = (3/4)x - 5

line 2: y = (-1/4)x + 3

at the point these lines cross the x and y values of the two lines are the same, so you can write

y (line 1) = y (line 2) or

(3/4)x - 5 = (-1/4)x + 3, subtract 3 from both sides

(3/4)x - 8 = (-1/4)x, multiply both sides by 4 (to eliminate the denominators)

3x -32 = -x, add x, add 32 to both sides

4x = 32, divide both sides by 4

x = 8, substitute x = 8 into either of the linear equations

y=(3/4)x - 5 = (3/4)(8) - 5 = (24/4) - 5 = 6 - 5 = 1

so the intersection point is (8,1)

Given that the answer worked out well, the graphic method should be good too.

Ilia_Sergeevich [38]3 years ago
5 0

Answer:

The equation of a line in slope-intercept form is y = mx + b

where m is the slope

and b is the y-intercept.

For example,

   in the equation  y = 9x - 7

   the slope is 9

   and the y-intercept is -7, which means that the line crosses the y-axis at the point (0, -7)

If your question you are given m=3/8 and you can find the value of b from the given y-intercept.

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

Substituting gives:

y

=

3

x

+

7

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Can someone please help me with this?
dsp73

Answer:

S_{13} = 403

Step-by-step explanation:

the sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} (a + l) ← a is the first term and l the last term

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3 0
2 years ago
1. The curve y = (x - 1)(x – 5) cuts the x-axis at A and B and the y-axis at C.
saveliy_v [14]
So the first two questions are asking for points of intercept. a is asking where the function crosses the x, in this case it is where y=0. So your x intercept is at x= 1,5. Then to find the y intercept it is where x=0, so just substitute 0 for x. Then you get your y intercept as y=5. Because your coefficient for the quadratic function is positive your function has a minimum since it opens upward. I’m not sure what is means by C coordinate, but your vertex is at (3,-4) and lime of symmetry is at x=3.

X intercepts: (1,0) and (5,0)
Y intercept: (0,5)

3 0
2 years ago
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