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levacccp [35]
3 years ago
6

Find the equation for the linear function that passes through the points (−5,−6) and (10,3). Answers must use whole numbers and/

or fractions, not decimals.
A.Use the line tool below to plot the two points_______

B.State the slope between the points as a reduced fraction________

C.State the y-intercept of the linear function_______

D.State the linear function_________

Mathematics
2 answers:
vovangra [49]3 years ago
6 0

Answer:

Slope: \frac{3}{5}

Y-intercept: -3

Equation: y=\frac{3}{5} x-3

Graph is attached.

Step-by-step explanation:

To find your slope using two points, use the slope formula.

\frac{y2-y1}{x2-x1} \\

Your y1 is -6, your y2 is 3.

Your x1 is -5, your x2 is 10.

\frac{3-(-6)}{10-(-5)} \\\\\frac{9}{15} \\\\\frac{3}{5} \\

Now that you have your slope, use it and one of your points in point-slope form to find your y-intercept.

y-y1=m(x-x1)\\y-3=\frac{3}{5} (x-10)\\y-3=\frac{3}{5} x-6\\y=\frac{3}{5} x-3

navik [9.2K]3 years ago
6 0

Answer:

A. In the graph,

Go 5 units left side from the origin in the x-axis then from that point go downward 6 unit, we will get (-5, -6),

Now, go 10 unit right from the origin in the x-axis then from that point go upward 3 unit, we will get (10, 3),

B. The slope of the line passes through (-5, -6) and (10, 3),

m=\frac{3-(-6)}{10-(-5)}=\frac{3+6}{10+5}=\frac{9}{15}=\frac{3}{5}

C. Since, the equation of a line passes through (x_1, y_1) with slope m is,

y-y_1=m(x-x_1)

Thus, the equation of the line is,

y+6=\frac{3}{5}(x+5)----(1)

For y-intercept,

x = 0,

y+6 = \frac{3}{5}(0+5)\implies y = 3-6=-3

That is, y-intercept is -3.

D. From equation (1),

5y + 30 = 3x + 15

\implies 3x - 5y = 15

Which is the required linear function.

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How do we Factorise 5y -6 py​
____ [38]

Answer:

See explanation.

Step-by-step explanation:

5y-6py

Common factor: y

y(5-6p)

3 0
3 years ago
F(x) = x ^ 2 - 8x + 7
bekas [8.4K]
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
5 0
3 years ago
Complete the square for 3x^2-12x=9
larisa [96]

Answer:

The solutions are -0.65 and 4.65.

Step-by-step explanation:

3x^2 - 12x = 9

Divide both sides by 3

x^2 - 4x = 3

To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2.  So add 4 to both sides.

x^2 - 4x + 4 = 7

(x-2)^2 = 7

x - 2 = (square root) of 7

x = 2 (+/-) (square root) of 7.

x = {-0.65, 4.65}

The solutions are -0.65 and 4.65.

hope this helps:)sorry if it doesnt

8 0
3 years ago
Read 2 more answers
What is the x-intercept of the line containing the points (–6, 10) and (12, –2)?
const2013 [10]
Slope = (-2 - 10)/(12 + 6) = -12/18 = -2/3

y = mx + b
10 = -2/3(-6) + b
10 = 4 + b
b =6

equation
y = -2/3x + 6

<span>x-intercept when y = 0
</span>-2/3x + 6 = 0
-2/3x = -6
      x = 6 (3/2)
      x = 9

answer is <span>d.9</span>
8 0
3 years ago
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What is 1/10 of an income of $97.50
sladkih [1.3K]
The answer is $9.75.
8 0
3 years ago
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