The points 5,7 and 2,4 lie on a line what is the equation of the line

y = x + 2

Step-by-step explanation:

Please enclose the coordinates inside parentheses:

(5, 7) and (2, 4).

As we move from (2, 4) to (5, 7), x increases by 3 (this is the "run") and y increases by 3 (this is the "rise").

Thus, the slope of the line connecting these two points is

m = rise / run = 3 / 3 = 1, and so, when we use the slope-intercept form of the equation of a straight line, we get:

7 = 1(5) + b, so that b comes out to 2.  Then the desired equation is

y = x + 2.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get