Answer:
The last option is correct:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
Step-by-step explanation:
We have a pair of equations of lines:
y=-x+1
y=2x+4
The equation of a line can be written as follows:
y=mx+b
Where m is the slope and b is the y-intercept.
Following the form of both lines, we can conclude that:
The first line has slope -1 and y-intercept 1
The second line has slope 2 and y-intercept 4.
To solve the system of equations graphically, we must plot both lines and write the coordinates of the point of intersection of the lines as the solution.
The only option which has all the correct information is the last one:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
The fourth option is correct which is : On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
For plotting the graph of a line we compare the given equation of the line to the standard equation: y = mx + c
where m = slope of the lie
c = intercept on y- axis
(i) y = -x + 1
comparing with y = mx + c we get,
slope m = -1
y-intercept c = 1
(ii) y = 2x + 4
comparing with y = mx + c we get,
slope m = 2
y-intercept c = 4
Learn more about graph plotting:
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