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Answer:
(12,0) and (3, -1) and (0,-4/3)
Step-by-step explanation:
To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.
1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:
12 does equal 12, so (12,0) makes the equation true.
2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:
However, -108 does not equal 12, so (0,12) does not make the equation true.
3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:
12 does equal 12, so (3, -1) makes the equation true.
4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:
12 does equal 12, so (0, -4/3) makes the equation true.
Answer:
The equation of the line that goes through points (1,1) and (3,7) is
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula:
We have
Putting values and finding slope
We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3
We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:
The equation of the line that goes through points (1,1) and (3,7) is