Question 1157258: what is the equation of a line that has a gradient of -2 and passes through the line (1, 7) Found 3 solutions by Theo, MathTherapy, ikleyn:Answer by Theo(13342) (Show Source): You can put this solution on YOUR website! gradient and slope are technically not the same, however, for purposes of your problem, they can be considered the same.
in your problem, the gradient is -2.
this means the slope is -2.
the slope intercept form of the equation of a straight line is y = mx + b.
m is the slope, b is the y-intercept.
slope = change in y divided by corresponding change in x = -2, in this case.
formula becomes y = -2 * x + b
use the point to find the y-intercept by replacing y with 7 and x with 1 to get:
7 = 1 * -2 + b
simplify to get 7 = -2 + b
solve for b to get b = 9
formula becomes y = -2 * x + 9
that's your solution.
replace x with 1 and solve for y to get y = -2 * 1 + 9 = 7.
the coordinate point of (x,y) = (1,7) is on the line, as it should be.
I came to EDIT your post and show you how IT SHOULD BE written.
Do you see the difference ?
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It is very elementary and basic skill that every student must develop to the level to solve such problems on his (or her)
own without asking assistance from outside.