Answer:
the third one
Step-by-step explanation:
Answer:
y = 3x + 3
Step-by-step explanation:
y = mx + b where m= slope and b= y-intercept
the y-intercept is the point where x=0 or where the line crosses the y-axis.
This happens at (0,3) on the graph, so the y-intercept, or b, is equal to 3.
for m, slope can be defined as rise/run. So starting from a point you are given on the graph (-1,-2), count the number of spaces up you rise and how many you must go over (run) to get to the next point (0,3)
if you count, you should rise from (-1,-2) 5 spaces and move to the right (run) 1 space to get to (0,3).
rise/run = 3/1
3/1 = 3
the slope is 3.
now that you have the slope and the y-intercept, you can just plug it into the equation
y = 3x + 3
Answer:
-2 < x < 4
Step-by-step explanation:
Answer:
Hence, the following equations, when graphed, intersect at the point (4, 0):
x - y = 4 (1)
x + y = 4 (4)
Step-by-step explanation:
<em>" For the graph to intersect at the point (4,0) we mean that when y=0 , x must be equal to 4 or we could say that when x=4 then y=0".</em>
1)
x-y=4
now when y=0 then x=4.
Hence, the graph intersect at the point (4,0).
2)
-x-y=4
When y=0 in the equation then x=-4, Hence the point (4,0) does not lie on the graph of the given function.
3)
2x-y=7
When y=0 then x=7/2.
Hence the graph of the function does not intersect at the point (4,0).
4)
x+y=4
When y=0 then x=4.
Hence the graph of the given function intersect at (4,0).
5)
2x + y = 7
When y=0 then x=7/2.
Hence the graph of the function does not intersect at the point (4,0).
6)
2x + y = -7
When y=0 then x= -7/2.
Hence the graph of the function does not intersect at the point (4,0).