Answer:
y = 2x - 7
Explanation:
okay so for linear eqns you need to find the gradient + y-intercept
y-intercept is when x = 0, in this case it is -7
now that you have the y intercept for the gradient you can either use substitution or the normal rise / run
substitution :
because we already have some other value pairs so let's use x = 2, y = -3, remember we're trying to find the m of mx + c (c = -7)
m(2) - 7 = -3
2m = 4
m = 2
we can use the other sets to confirm:
2(4) - 7 = 1
2(6) - 7 = 5
rise over run:
just take any 2 sets and find the difference in x and y and let's say I use x = 4 and 6, y = 1 and 5. now find diff. between the ys / diff. between the xs
gradient = (5-1) / (6-4)
so gradient = 2, and eqn is y = 2x - 7
hope this helps yeet