Write the equation of the line through the points (3,2) and (-6,1).

Question

08-12-2016
Mathematics

contestada

Write the equation of the line through the points (3,2) and (-6,1).

Respuesta :

Otras preguntas

20 POINTS! Why is it important that people use fewer non-renewable resources and more renewable resources? Your Opinion and Evidence

Which expression is a factored form of 3n² - 4n - 4 Answer choices............................. ................................................ ANSWER for refe

Pleace help me! :'DD

A solid has volume 7 cubic units. The equation k = represents the scale factor of k by which the solid must be dilated to obtain an image with volume V cubic u

- Why do some teenagers avoid eating for day, even months?

Pls help!!!!!!!!!!!!!!!!!!!!!!!

Jefferson davis played what role in the civil war? question 2 options: union general confederate general president of the confederate states cabinet member of t

Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4. the four angles

Which of the following describes the role of the shogun during the Tokugawa Shogunate in Japan? OA. He was elected by citizens to serve as the country's leader.

Promotion permits are available and required for in-store demonstrations and promotions such as offering wine and beer samples. true false

aly0266luvsu aly0266luvsu · Answer 1 · 2016-12-08T17:31:53+01:00

Finding the distance, midpoint, slope, equation and the x y-interceptsof a line passing between the two points p1 (3,2) and p2 (-6,1)The distance (d) between two points (x1,y1) and (x2,y2) is given by the formulad = √ ((X2-X1)2+(Y2-Y1)2)d = √(-6-3)2+(1-2)2d = √((-9)2+(-1)2)
d = √(81+1)
d = √82

The distance between the points is 9.05538513813742

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2
Xm=(3+-6)/2=-1.5

Find the Y value of the midpoint

Ym=(Y1+Y2)/2
Ym=(2+1)/2=1.5

The midpoint is: (-1.5,1.5)

Graphing the two points, midpoint and distanceP1 (3,2)P2 (-6,1)Midpoint (-1.5,1.5)The length of the black line is the distance between the points (9.05538513813742)
Find the slope of the line connecting the two pointsSlope = (Y2-Y1) = (1-2) = (-1) = 0.111111111111111(X2-X1)(-6-3)(-9)Find the equation of the line passing through the two pointsThe general equation for a straight line isy = mx + bWhere m represents the slope of the line which we found in the previous step to be 0.111111111111111y = 0.11x + bWe substitute x and y for the values from one of our points (3,2)2 = .11×3 + b2 = 0.33 + b2-0.33 = b1.67 = bKnowing both b and m, we can contruct the equation of the liney= 0.11x+ 1.67X and Y interceptsThe x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y
y= 0.11x+ 1.670= 0.11x+ 1.67-0.11x= 1.67x= 1.67/-0.11 = -15.00The x intercept for this straight line is -15.00

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x
y= 0.11×0+ 1.67y= 1.67The y intercept for this straight line is 1.67