Question 421975
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Hi
Finding the x-intercept and the y-intercept of the line given by 
4x+7y=28
x-intercept when y=0  then x = 7  Pt(7,0) the x-intercept
y-intercept when x=0  then y = 4  Pt(0,4) the y-intercept
Using the standard slope-intercept form for an equation of a line y = mx + b  
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
finding the slope and the y-intercept of the line given by 
6x+3y=9 
   y = -2x + 3   |slope m = -2 and the y-intercept Pt(0,3) 
Writing the slope-intercept equation of the slope1/3 and y-intercept of(0,-6)
  y = (1/3)x - 6

Are the following lines parallel(same slope),perpendicular(negative reciprocals),or neither 
y= 2/3x+1    |m = (2/3)  AND 3y=2x-3  OR y=(2/3)x - 1  Parallel
y= -2x+5     |m = -2  AND  2y-x=6 OR y=(1/2)x + 3   |m=(1/2) Perpendicular

Find the point-slope equation for each line containing the given point and  slope:
(2,5),m=2                | y =2x + b 
                           5 = 4 + b  and (b = 1)         y = 2x + 1
(-4,0),m=-1/2            | y = (-1/2)x +b  
                           0 = (-1/2)*-4 + b and (b =-2)   y=(-1/2)x - 2
find the slope-intercept equation for each line containing the given pair of points:
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(-2,5)and
(-1,4) m = 1/-1 = -1     |y= -x + b and   (b=3)        y = -x +3 
                          4 = 1 + b