What is the slope and intercept of y-(-4)=-1(x-6)?

2 Answers
Aug 3, 2018

Slope: -1

x-intercept: (2, 0)

y-intercept: (0, 2)

Explanation:

y - (-4) = -1(x-6)

We know that the equation is in point-slope form:
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Therefore, we know that the slope is -1.

To find the x-intercept, plug in 0 for y and solve for x:
0 - (-4) = -1(x-6)

4 = -x + 6

-2 = -x

x = 2

The x-intercept is at (2, 0).

To find the y-intercept, plug in 0 for x and solve for y:
y - (-4) = -1(0-6)

y + 4 = -1(-6)

y + 4 = 6

y = 2

The y-intercept is at (0, 2).

Hope this helps!

Aug 4, 2018

Slope -1, x-int 2 and y-int 2

Explanation:

Our equation is in point-slope form

y-y_1=m(x-x_1), where slope m and points (x_1,y_1).

We immediately see that our slope is -1. We can find the y-intercept by converting this to slope intercept form

y=mx+b, with slope m and a y-intercept of b.

Our equation simplifies to

y+4=-1(x-6)

We can distribute the negative on the right to get

y+4=-x+6

Lastly, we can subtract 4 from both sides to get

y=-x+2

We see that our y-intercept is 2. What about the x-intercept? This can easily be found by setting y equal to zero.

-x+2=0=>-x=-2=>x=2

Therefore, our slope is -1, our y-intercept is 2, and so is our x-intercept.

Hope this helps!