Nethinjinsidn
Answered

From simple queries to complex problems, IDNLearn.com provides reliable answers. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

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

Sagot :

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
Cinderofsoulsssidn

Answer:

[tex]y=-x-2[/tex]

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.

[tex]1--3=1+3=4[/tex]

The change between the x-values is -4.

[tex]-3-1=-4[/tex]

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

[tex]\frac{4}{-4}=1[/tex]

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

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]

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)

[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]

The y-intercept is -2.

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

[tex]y=mx+b[/tex]

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

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

[tex]y=-x-2[/tex]

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.