Question

(1,-3) (-3,1) find the slope​ intercept form​

Answer 1

We will need to use point-slope form, and then put this into slope-intercept form. We can also use slope-intercept form, and plug in the coordinates but we should get the same answer.

Firstly, we need to find the slope. We can use the formula y2-y1/x2-x1. 1-(-3)/-3-1 is 4/-4. The slope is -1.

Next, point-slope form is y-y1=m(x-x1). I will use the coordinate (1, -3) for y1 and x1. M is the slope. We do not need to worry about y and x. y-(-3)=-1(x-1). This gives us y+3=-x+1. Once we subtract 3, to isolate y, we get y=-x-2.

The answer is y=-x-2

Answer 2

Answer:

$y=-x-2$

Step-by-step explanation:

1) First, find the slope between these 2 points.

(1, -3)

(-3, 1)

The change between the y-values is 4.

$1--3=1+3=4$

The change between the x-values is -4.

$-3-1=-4$

Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.

$\frac{4}{-4}=1$

If you just wanted to use the slope formula, you could do that too:

$m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1$

2) Second, now you can use the slope to calculate the y-intercept.

Pick whichever point you want, and plug it into the equation along with the slope and solve for b.

(1, -3) = (x, y)

$y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2$

The y-intercept is -2.

3) Finally, you can wire the equation in slope-intercept form.

$y=mx+b$

where m is the slope and b is the y-intercept.

Plug in the values we found and you're done:

$y=-x-2$