Scarrvyidn
Answered

Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

What is the equation of the line that passes
through the points (2,-3) and (3, 1)?

Sagot :

Tsknm49gw9idn
Y=4x+11 because the y intercept is 11 and the slope is 4
Shayaanibrahimbaigidn

Answer:

-3 - 4*2 + 1 is the slope-intercept equation

1 = 12 - 2 is the slope-intercept equation

point-slope equation is -3 - 1 = 4 ( 2 - 3)

Step-by-step explanation:

Slope-intercept formula:

y = mx + b

First we have to find the slope,

(1). 3 - 2 / 1 + 3 = 1/4

(2). 1 is x and 4 is y

(3).  x/y is slope. so,

4/1 = 4

so the slope is 4!

Now back to the formula,

y = mx + b --> -3 = 4*2 + 1 --> -3 = 8 + 1

So  -3 = 8 + 1 is the slope-intercept equation for equation 1.

Equation 2:

y = mx + b --> 1 = 4*3 - 2 --> 1 = 12 - 2

So 1 = 12 - 2 is the slope-intercept equation for equation 2

Point-Slope Formula:

y₁ - y₂ = m ( x₁ - x₂)

Substitution,

-3 - 1 = 4 ( 2 - 3)

So the point-slope equation is -3 - 1 = 4 ( 2 - 3)

Hope this helps! I spent a lot of time on this one question :)

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.