Mathematics, 27.06.2019 16:00, ximena68

Find an equation of the line passing through the pair of points. write the equation in the form ax + by = c. left parenthesis 4 comma 7 right parenthesis and left parenthesis 3 comma 4 right parenthesis(4,7) and (3,4) the equation of the line in the form ax+by=c is

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answered: mazielynn84

The equation of the line in the form of Ax + By = C is 3x - y = 7.

Given that,

The equation of the line in the form Ax +By = C,

Which passes through the points (4, 3) and (3,4).

We have to determine,

The equation of the line.

According to the question,

The equation of the line in the form Ax +By = C,

The co-ordinate passes through the points (4, 3) and (3,4).

To determine the equation of the line following all the steps given below.

Step1; The slope of the two points can be written as,

$m = \dfrac{y_2-y_1}{x_2-x_2}\\\\m = \dfrac{4-7}{3-4}\\\\m = \dfrac{-3}{-1}\\\\m = 3$

The slope of the line is 3.

Step2; The y-intercept of the line,

$y = mx + c\\\\7= 3 \times 4 + c\\\\7 = 12+ c\\\\c = 7-12\\\\c = -5$

The y-intercept of the line is -7.

Step3; The equation for the line is,

$y = mx + c \\\\y = 3x-7$

Step4; The equation can be written as standard form,

$y = 3x - 7\\\\3x -y = 7$

Hence, The equation of the line in the form of Ax + By = C is 3x - y = 7.

To know more about Linear equations click the link given below.

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answered: kinslou6506

$\boxed{3x - y = 5}}$

Step-by-step explanation:

The coordinates of the two points are (4, 7) and (3, 4).

(a) Calculate the slope of the line

$\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\&= & \dfrac{7 - 4}{4 - 3}\\\\& = & \dfrac{3}{1}\\\\ & = &3\\\end{array}$

(b) Calculate the y-intercept

$\begin{array}{rcl}y & = & mx + b\\7 & = & 3 \times 4 + b\\7 & = & 12 + b\\b & = & -5\\\end{array}$

y = 3x - 5

This is the point-slope form of the equation.

(d) Convert to standard form

$\begin{array}{rcl}y & = & 3x - 5\\-3x + y & = & -5\\3x - y & = & -5\\\end{array}\\\text{The standard form of the equation is }\boxed{\mathbf{3x- y = -5}}$

answered: Guest

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

answered: Guest

answer: c.

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.

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Find an equation of the line passing through the pair of points. write the equation in the form ax +...