determine 2 or more ordered pairs for each relaton.explain your reasoning.
rise is 2,run is 3; (2.5) lies on the line
+33661 A straight line can be written in the form y = m*x + c where m is the slope and c is the y-intercept.
The slope is given by rise over run, so here, m = 2/3. Therefore the straight line in this case is:
y = 2x/3 + c
To find the value of c we use the fact that the point (2,5) is on the line. (i.e. y = 5 when x = 2)
5 = 2*2/3 + c or 5 = 4/3 + c
Subtract 4/3 from both sides
c = 5 - 4/3 or c = 11/3
The line is therefore given by the equation y = 2x/3 + 11/3
To find another point on the line choose a value for x and calculate the corresponding value of y.
For example, if x = 1 then y = 2*1/3 + 11/3 or y = 13/3 so the point (1, 13/3) is on the line.
Find another point by choosing another value for x.
.
+33661 A straight line can be written in the form y = m*x + c where m is the slope and c is the y-intercept.
The slope is given by rise over run, so here, m = 2/3. Therefore the straight line in this case is:
y = 2x/3 + c
To find the value of c we use the fact that the point (2,5) is on the line. (i.e. y = 5 when x = 2)
5 = 2*2/3 + c or 5 = 4/3 + c
Subtract 4/3 from both sides
c = 5 - 4/3 or c = 11/3
The line is therefore given by the equation y = 2x/3 + 11/3
To find another point on the line choose a value for x and calculate the corresponding value of y.
For example, if x = 1 then y = 2*1/3 + 11/3 or y = 13/3 so the point (1, 13/3) is on the line.
Find another point by choosing another value for x.
.
