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3 years ago

What is the point-slope form of a line with slope 2 that contains the point (1, 3)?

1 answer:

8 0

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 1}}\quad ,&{{ 3}})\quad 
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 2
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-3=2(x-1)\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

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A line that has a rise of -34 and a run of 20.

aleksandr82 [10.1K]

Answer:

$y=-1.7x-34$

Step-by-step explanation:

An equation of a line is given $y=mx+c$ , where m is the gradient or $\frac{Rise}{Run}$

The rise indicates the change in value of y (vertical change in the graph).

The run indicates the change in value of x (horizontal change in the graph).

Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).

$m =\frac{Rise}{Run} \\ =\frac{-34}{20}\\ =-1.7$

Substitute point 1 into the graph to get the constant c.

$y=mx+c$

$-34=(-1.7)*(0)+c$

$c=-34$

∴ The equation of the line is, $y=-1.7x-34$

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3 years ago

Select the best answer for the question.

Tju [1.3M]

Answer:

5 Percent

Step-by-step explanation:

Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.

7 0

3 years ago

I need help with these questions,i'll give 76 point to whoever answers them

Harman [31]

Answer:

1, 4 complementary

2, 3 supplementary

5, 6 neither

Step-by-step explanation:

complementary angles are angles in which the sum of both is equal to 90 degrees. supplementary angles are angles in which their sum is equal to 180 degrees.

hope that helps

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3 years ago

Read 2 more answers

Jhon went to the cinema to watch a film at quarter past 3. The film lasted for an hour, What time did he leave?

marysya [2.9K]

The answer is 4:15. (Also NEVER click on links with the bit . ly thing)

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3 years ago

Help me please and thanks

leva [86]

Answer:

A. (1, -4)

Step-by-step explanation:

You can try the answers to see which works. (The first one does.)

Or, you can solve the equations algebraically. Equating y-values works well here:

2x -6 = -2x -2

4x = 4 . . . . . . . add 2x+6 to both sides; next divide by 4

x = 1 . . . . . . . . shows you selection A is correct

___

A graphing calculator can show you the point of intersection. Perhaps this is the way to go, since the unit seems to be on graphing systems of equations. Both of these equations are in slope-intercept form (y=mx+b), so are easily graphed by starting from the y-intercept (b) and using the slope (m=rise/run) to find another point on the line.

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3 years ago