Estimate the solution to the system of these linear equations based on the graph.
y=5x+10
y=−2x+3
(1 point)
Responses
(−1, 5)
left parenthesis negative 1 comma 5 right parenthesis
(5,−1)
left parenthesis 5 comma negative 1 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(1, 5)
left parenthesis 1 comma 5 right parenthesis
To estimate the solution to the system of linear equations based on the graph, we can look for the point where the two lines intersect. Based on the given equations, the lines have different slopes: y = 5x + 10 has a positive slope of 5, while y = -2x + 3 has a negative slope of -2.
Looking at the graph, we can see that the lines intersect at a point with coordinates approximately (-1, 5). Therefore, the estimate for the solution to the system of linear equations is (-1, 5).
To estimate the solution to the system of these linear equations based on the graph, we need to find the point where the two lines intersect.
By comparing the equations, we can see that the slope of the first equation is 5, and the slope of the second equation is -2. This means that the lines are not parallel, and they will intersect at a point.
Based on the graph, it appears that the lines intersect at the point (-1, 5).
So the estimated solution to the system of equations is (-1, 5).
To estimate the solution to the system of linear equations based on the graph, we need to find the intersection point of the two lines.
Looking at the equations y = 5x + 10 and y = -2x + 3, we can see that both equations are given in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
For the first equation, y = 5x + 10, the slope is 5 and the y-intercept is 10.
For the second equation, y = -2x + 3, the slope is -2 and the y-intercept is 3.
Now, let's plot the two lines on a coordinate plane and find their intersection point:
1. Locate the y-intercept of the first equation by marking a point on the y-axis at y = 10.
2. Using the slope, plot a second point by moving up 5 units and right 1 unit from the y-intercept point.
3. Draw a straight line passing through the two points, representing the first equation.
4. Locate the y-intercept of the second equation by marking a point on the y-axis at y = 3.
5. Using the slope, plot a second point by moving down 2 units and right 1 unit from the y-intercept point.
6. Draw a straight line passing through the two points, representing the second equation.
The intersection point of the two lines represents the solution to the system of equations.
Based on the given answer choices, we can estimate the intersection point as (-1, 5), which means x = -1 and y = 5.
Thus, the estimated solution to the system of linear equations is (-1, 5).