If you drew a line through the points, three other points would be
(5,-2) , (9,-5) and (-7,7)
Given :
The points (-3, 4) and (1, 1)
Find the equation of the line that connect two given points to find three other points on the line
Equation of the line is y=mx+b
where m is the slope and b is the y intercept
slope formula is
[tex]m= \frac{y_2-y_1}{x_2-x_1} =\frac{1-4}{1+3} =\frac{-3}{4}[/tex]
Now find out b using point (1,1)
[tex]x=1, y=1\\y=mx+b\\1=\frac{-3}{4} (1)+b\\1=\frac{-3}{4}+b\\\\1+\frac{3}{4} =b\\\\b=\frac{7}{4}[/tex]
The equation of the line that connects two points
[tex]y=\frac{-3}{4}x+\frac{7}{4}[/tex]
To find other 3 points , we plug in some random number for x and find out y
[tex]y=\frac{-3}{4}x+\frac{7}{4}\\x=5\\y=\frac{-3}{4}(5)+\frac{7}{4}=-2\\\\x=9\\y=\frac{-3}{4}(9)+\frac{7}{4}=-5\\\\x=-7\\y=\frac{-3}{4}(-7)+\frac{7}{4}=7\\[/tex]
Three other points are
(5,-2) , (9,-5) and (-7,7)
Learn more : brainly.com/question/19318849
