SOLUTION: Graph the following equations using the slope-intercept method. Draw the y-intercept in yellow. Draw at least one additional point in red using the slope: y = -2x + 2 y = 3

Algebra ->  Coordinate-system -> SOLUTION: Graph the following equations using the slope-intercept method. Draw the y-intercept in yellow. Draw at least one additional point in red using the slope: y = -2x + 2 y = 3      Log On


   



Question 1152348: Graph the following equations using the slope-intercept method. Draw the y-intercept in yellow. Draw at least one additional point in red using the slope:
y = -2x + 2
y = 3/4x - 1
When we have zero on the bottom of the slope, we call that no slope because of the rule that zero can never be in the denominator of a fraction. An example of this would be a line that goes through the points (2, -3) and (2, 4). If you plotted these points, what would this graph look like? What should this equation be?
Thank you

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
first recall equation in the slope-intercept form:
y=mx%2Bb where m is a slope and b is y-intercept
Graph the following equations using the slope-intercept method.
Draw the y-intercept in yellow.
Draw at least one additional point in red using the slope:

y+=-2x%2Bhighlight_green%282%29
=> y-intercept is at (0highlight_green%282%29) (I am using green where should be yellow because yellow here does not work)

one additional point:
if y=0=>0+=+-2x+%2B2=>2x=2=>x=highlight%281%29
=> x-intercept is at (highlight%281%290)



y+=+%283%2F4%29x+-+1
=>y-intercept is at (0highlight_green%28-1%29)
one additional point:
if y=0=>0=+%283%2F4%29x+-+1=>1=+%283%2F4%29x+=>x=+1%2F%283%2F4%29=4%2F3
=> x-intercept is at (highlight%284%2F3%290)



a line that goes through the points
(2, -3) and (2,+4)
If you plotted these points, what would this graph look like?

What should this equation be?
as you can see both points have same x coordinate, and both lie on vertical line x=2
you can also use a slope to determine what should this equation be:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%284-%28-3%29%29%2F%282-2%29=7%2F0=> no slope, means we have vertical line