Answered

At IDNLearn.com, find answers to your most pressing questions from experts and enthusiasts alike. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.

what is the equation for the line in the slope intercept form ​

What Is The Equation For The Line In The Slope Intercept Form class=

Sagot :

Intriguing456idn

Answer:

[tex]y = -4x+5[/tex]

Step-by-step explanation:

First, we can identify the line's y-intercept, or the y-value at which the line crosses the y-axis (vertical axis):

y = 5

Next, we can solve for the line's slope using the formula:

[tex]\text{slope} = \dfrac{\text{rise}}{\text{run}}[/tex]

[tex]= \dfrac{-8}{2}[/tex]

[tex]=-4[/tex]

(Note: For this calculation, you can take any two points on the line and, to calculate the slope, plug in the difference in y-coords. for rise and the difference in x-coords. for run. Since this line is going down and to the right, its slope is negative.)

Finally, we can plug these values in the slope-intercept form equation:

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

where   [tex]m=\text{slope}[/tex]   and   [tex]b=\text{y-intercept}[/tex].

↓↓↓

[tex]\boxed{y = -4x+5}[/tex]

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.