13 write the equation of the line in slope intercept form co
13) write the equation of the line, in slope intercept form, containing the point (-1, 2) & parallel to the line 3x+y=5
14) write the equation of the line, in standard form, containing the point (-2,-1) & perpendicular to the line 2x+y=7
Solution
13) 3x+y= 5
y= -3x+5
slope = -3 since it is parallel to new line so slope of new line will be -3 as well
now m= -3 , x1= -1 and y1= 2
we know that slope point formula
y-y1=m(x-x1)
y-2=-3(x+1)
y-2=-3x-3
y= -3x-3+2
y= -3x-1 answer
14) 2x+y=7
y=-2x+7
slope = -2 , since it is perpendicular to the new line , its slope will be
m= 1/2
x1=-2, y1=-1 slope = 1/2
y-y1=m(x-x1)
y+1=1/2(x+2)
y+1 = 1/2x+1
y= 1/2*x answer

