asked 156k views
22 votes
Write the equation of the line that passes through the point (1,5) and has a slope of -2.

2 Answers

4 votes

Answer:

y= -2x + 7

Explanation:

answered
User Haswell
by
8.8k points
4 votes

Answer:

y = -2x + 7

Explanation:

to write the equation to this problem, we need to find the the y intercept, or the point where the line intersects the Y axis

a slope of -2 means that for every x unit in the positive x direction (right) two y units are moved in the negative Y direction (downward)

so if we subtract (go to the left) 1x that means we would also have to add (go up) 2y, which would leave us at the point (0,7)

now, an equation for a line is written as Y = MX + B

M = slope

B = y intercept

our slope, as we said before, is -2, and we found the Y intercept, 7, so now we can construct our equation

y = -2x + 7

answered
User Rosales
by
8.0k points

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