Algebra (grade 9)
posted by Sam<3 .
Write an equation in pointslope form of the line that passes through the given points:
1. (5,6), (1,7)
2. (6,3), (1,9)
3. write an equation of a line that is perpendicular to y=3x+5 and passes through (4,3).

for #1 and #2
first find the slope, that gives you the m.
Now pick one of the given points and sub those values into
y = mx + b
Solve for b and rewrite the equation.
I am sure that your teacher and/or your textbook has given you several examples of this type of fundamental question.
#3.
The line perpedicular to the given line must have slope of 1/3
so new equation:
y = (1/3)x + b
sub in (4,3)
3 = (1/3)(4) + b
I usually get rid of my fractions by multiplying by whatever the denominator is
9 = 4 + 3b
b = 5/3
final equation : y = (1/3)x + 5/3