Find an equation of the line that satisfies the given conditions. Through (−3, 5); slope −1

Answer 1

To start, we know the equation for a line is y = mx + b, with m being the slope and b being the y-intercept. Using your information, we know that (-3,5) is a point on the graph, so we can substitute those values, as well as the slope, into the equation. The only unknown is the y-intercept, so we will be able to solve for it:

y = mx + b

We know x = -3, y = 5, and m = -1, so we get:

5 = (-1)*(-3) + b

Now, we just need to solve for b:

5 = 3 + b

2 = b

Now that we know that the y-intercept is 2, we can make a general equation for this line, subbing in 2 for the y-intercept (b) and -1 for the slope (m):

y = -x+2

And that's your answer!

Answer 2

y=-x+b

5=-(-3)+b

b=5-3=2

y=-x+2