STANDARD FORM
Rewrite the equation in standard form:
y=3x−7
3x−y=7
To find the x-intercept of a linear equation, what value do you substitute for y?
y=0
What is the slope of
1/2(y)=5x−2
10
Find the slope of the line passing through (1,2) and (3,6)
m=2
What is the relationship between the slopes of two parallel lines?
They have the same slope
Rewrite in standard form:
y=−2x+5
2x+y=5
How to find y-intercept?
x=0 and solve for y
(0, a)
What is the slope and y-intercept of
6x+3y=9
slope= -2
y-intercept: (0, 3)
solve the following linear system. what is the intersection point?
2x−5y=9
5x+3y=17
(112/31,−11/31)
Approximately:
(3.61,−0.35)
What is the relationship between the slopes of two perpendicular lines?
their slopes are negative reciprocals
What is the x-intercept of
4x+2y=16
(4, 0)
Find both intercepts of
2x+3y=12.
(6,0)
and
(0,4)
Find the equation of the line with slope 4 and y-intercept −3.
write it in y=mx+b and standard form:
y=4x−3
y-4x+3=0
Find the equation of the line passing through:
(−2,5) and (4,−1 )
y=−x+3
How many solution are there for two parallel linear system with same y-intercept
infinite
What is the y-intercept of
3x−5y=15
(0, -3)
Use the intercept method to graph:
5x−2y=10.
What are the two points you would plot?
(2,0)
and
(0,−5)
Find the equation of a line with slope −2 passing through (3,5)
y=−2x+11
solve the following linear system. what is the intersection point?
5x−2y=16
3x+y=11
(3.45, 0.64)
Find the equation of the line parallel to
2x−3y+6=0
that passes through (3,−2).
y=2/3(x)-4
A line has an x-intercept of 6 and a y-intercept of −4. Find its equation in standard form.
2x−3y=12
Use the intercept method to graph:
3x+4y=24.
Find both intercepts and describe how you would use them to draw the line.
x-intercept=(8,0)
y-intercept=(0,6)
Plot the two points and draw a straight line through them.
Find the equation of a line with slope 3/4 passing through (−4,2).
write in both y=mx+b and standard form
y=3/4(x)+5
4y-3x-20=0
Find the equation of the line passing through:
(−4,7) and (2,−5).
Give your answer in standard form.
2x+y=−1
Find the equation of the line parallel to
3x-4y+8=0
that passes through (3,−2).
y=3/4(x)+2 , m=3/4
m'=-4/3
y=-4/3(x)+b (3, -2)
b=2
y=-4/3(x)+2