Part 2) Write the slope intercept form of the equation of each line given the slope and y-intercept
we know that
the slope intercept form of the equation of the line is equal to
y=mx+b
in this problem
slope=7/4 y-intercept=4
so
y=(7/4)x+4
The answer part 2) is
y=(7/4)x+4
Part 3) Write the slope intercept form of the equation of each line
11x+5y=15
clear the variable y
5y=15-11x
divide by 5 both sides
y=-(11/15)x+3
therefore
slope=-11/15
y-intercept=3
the answer part 3) is
y=-(11/15)x+3
Part 4) Write the slope intercept form of the equation of each line
y+4=-5x
clear the variable y
y=-5x-4
slope=-5
y-intercept=-4
the answer part 5) is
y=-5x-4
Part 6) Write the slope intercept form of the equation of the line through the given point with the given slope
through (2,0) and slope=2
y=mx+b
substitute the values in the equation
x=2 y=0 m=2
0=2*(2)+b
0=4+b
b=-4
therefore
the equation is
y=2x-4
the answer part 7) is
y=2x-4
Part 8) Write the slope intercept form of the equation of the line described
through (1,-5) parallel to y=(7/2)x-4
we know that
If two lines are parallel,
then
their slopes are the same
so
slope=7/2
y=mx+b
substitute the values in the equation
x=1 y=-5 m=7/2
-5=(7/2)*1+b
b=-5-7/2---------> b=-17/2
y=(7/2)x-17/2
the answer part 8) is
y=(7/2)x-17/2
Part 9) Write the slope intercept form of the equation of the line described
through (-4,2) perpendicular to y=-(4/3)x+4
we know that
If two lines are perpendicular,
then
the product of their slopes is equal to -1
so
slope=3/4
y=mx+b
substitute the values in the equation
x=-4 y=2 m=3/4
2=(3/4)*(-4)+b
b=3+2-----> b=5
y=(3/4)x+5
The answer part 9) is
y=(3/4)x+5