SOLUTION: find the x-intercept and the y-intercept of the line given by 4x+7y=28 find the slope and the y-intercept of the line given by 6x+3y=9 write the slope-intercept equation of

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  



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, 

(-2,5)and

(-1,4) m = 1/-1 = -1     |y= -x + b and   (b=3)        y = -x +3 

                          4 = 1 + b