The correct graph is third one. It attached.
Step-by-step explanation: We are given to select the graph that matches with the graph of the following function.
Since the given equation is a linear equation in two unknown variables, so its graph will be a straight line.
Also, from equation (i), we have
If x = 0, then y = 7
if y = 1, then x = -2.
So, (0, 7) and (-2, 1) are two points on the line graph of the given equation.
When we plot these two points on a graph paper and join them, we see that the line graph coincides with the third graph given in the options.
Thus, the correct graph is third one. Its image is attached below.
Graph the line using the slope and y-intercept, or two points.
Slope: 3 y
i'm pretty sure it is the top one to the right
The 3x represents the slope (up 3 over 1) and the 7 represents the y-intercept
Upper right graph.
y = 3x + 7 tells us that:
1. The line on the graph should be straight; the function is linear.
(This rules out the two graphs on the left.)
2. The function also tells us that the y-intercept of the graph should be 7. You can prove this by plugging x = 0 into the function: y = 3(0) + 7 = 0 + 7 = 7, giving you (0,7), which, of course, is a y-intercept, meaning that the line will cross the y-axis at 7.
(This rules out the bottom right graph.)
At this point, the only graph left is the one on the top right. However, we can use one last clue to confirm this.
3. The function also tells us that the slope of the straight line is 3. As you know, slope is rise over run (rise/run). So, if you count the units between the values on the line in the top right graph, you will see that you can go up 3 units and right 1 unit between each integer-defined point to make the line.
You will see that this is not true for any of the other graphs. The upper left one does not even have a constant slope, and neither does the bottom left. The bottom right graph's slope is much steeper than 3.
In conclusion, the upper right graph matches the function y = 3x + 7. It is the only graph out of the four that has all three requirements: 1) a constant slope; 2) a y-intercept of 7; and 3) a slope of 3.
X. →→→ 3x+7
0 →→→ 7
1 →→→ 10
2 →→→ 13
3 →→→ 16
4 →→→ 19
5 →→→ 22
y=3x+7 would be a straight line and the +7 means the line crosses the Y axis at 7
so the bottom left graph is correct