Answer:
Step-by-step explanation:
To write the equation of a line we need 2 points. We know:
Using these two point, we will find the slope and then substitute it into the point slope form with a point.
Slope:
This decimal is -2/3. We will now substitute -2/3 and (0,-3) into the point slope form.
Answer:
See picture attached below.
Step-by-step explanation:
To graph the system, graph each line separately.
y = 3x + 3 ha slope 3 and y-intercept 3.
Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.
y=-x - 3 has slope -1 and y-intercept -3.
Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.
This graph is represented in the picture attached.
The points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)
<h3>How to find the solution of a linear graph?</h3>
We are given the equations of the linear graphs as;
y = ⁷/₄x + ⁵/₂
y = ³/₄x - 3
Notice that the lines intersect each other and by definition, if the lines of the system of equations intersect, then the system has one solution. This means that the point of intersection of the lines is the solution of the system. It can be written as:
(x, y)
x is the x-coordinate .
y is the y-coordinate.
In this case, we can identify that:
- the x-coordinate of the point of intersection is between; x = 2 and x = 3
- The y-coordinate of the point of intersection is between y = -1 and y = -2
Based on the above, we can conclude that the points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)
Read more about Linear Graph Solution at; brainly.com/question/14323743
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