these are three different problems please help me solve them!!! thank you Take a
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these are three different problems please help me solve them!!! thank you
Take a Test- Alexandra Polanco - Google Chrome openvelluSecure https://www.mathxl.com/Student/PlayerTest.aspx?testld-1805246848enterwin -yes -Matri-TT9U53 Spring-ZU18 Quiz #2, (Review for Test #2 /Spring 18) ab Mat This Question: 1 pt 2 of 10 (0 complete) : Home ork s & Tests Find the slope of the line that goes through the given points. (-3,8) and (6,4) Select the correct choice below and, if necessary, fll in the answer box to complete your choice. O A. The slope is mType an integer or a simplifed fraction.) an pok Contents Organizer tebook s Solutions B. The slope is undefined. Success ia Library Tutor Click to select and enter your answer S).Explanation / Answer
1) Ans:
slope of the line that goes that goes through the two points (x1 , y1) and (x2 , y2)
(x1 , y1) = (-3 , 8) and (x2 , y2)=(6, 4)
m = ( y2 - y1) / ( x2 - x1)
= (4 - 8) / (6 - (-3))
= (-4) / (+9)
Therefore m= (-4/9).
2) Ans:
The equation of any straight line, called a linear equation can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept:
The given equation y = 3x - 9
slope m = 3 and y intercept get when x = 0
Therefore y=3(0) - 9
The Y-intercept y = -9
3)Ans:
The equation of a straight line (when given two points OR a point and a gradient) is y-y1 = m(x-x1) where m is the gradient and (x1,y1) is a point on the line
Here the given points
(x1 , y1) = (2 , 1) and (x2 , y2)=(4, -3)
slope m = ( y2 - y1) / ( x2 - x1)
= (-3 - 1) / (4 - 2)
= (-4) / (2)
= -2
Therefore m= -2
Now, use the slope m= -2 and either of the two given points (4,-3) and plug it into the "point-slope" form
y - y1 = m(x - x1)
y + 3 = -2(x - 4)
y + 3 = -2x + 8
y = -2x + 5 (solution)
Therefore f(x) = - 2x + 5
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