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3 years ago

What is the equation of a line passing through (-3, 7) and having a slope of ?

1 answer:

5 0

The slope cannot be found when only one co-ordinate is given.

One may assume the line is vertical or horizontal

This answer is ambiguous

You might be interested in

Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

Ket [755]

Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

Point G is on line segment{FH}

Angelina_Jolie [31]

Answer:

FG = 7

Step-by-step explanation:

5x+2+3x-1=9

8x+1=9

8x = 8

x = 1

FG = 5(1)+2 = 7

8 0

2 years ago

$456 is divided between the telephone and electricity bills in a ratio of 2 : 1. What amount goes to the telephone bill?

kipiarov [429]

$304 is the answer because 456/3 and then multiply by 2

5 0

1 year ago

Conrad Jennings�s monthly take home pay is $3500. He has a $600 mortgage payment, $300 car payment, $500 student loan payment, a

serg [7]

All his debt adds up to $1100.

The ratio is 1100/3500

1100/3500 = x/100 ~ cross multiply

The answer is: B. 31%

3 0

3 years ago

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is

qwelly [4]

Answer:

Step-by-step explanation:

Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.

Consider the attached diagram

AB=BC=x

However to be able to solve for x, we form a right triangle with endpoints A and C.

Since the hypotenuse is always the longest side in a right triangle

Hypotenuse, AC=30 Inches

Using Pythagoras Theorem

$30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches$

Therefore, the smallest possible perimeter of the triangle

Perimeter=2x+30

=2(21.21)+30

=42.42+30

=72.4 Inches (rounded to the nearest tenth)

4 0

2 years ago