Marcuscheeatowidn
Answered

Join IDNLearn.com and start exploring the answers to your most pressing questions. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

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

Sagot :

Abiafalak8idn

Answer:

y = -3x + 4

Step-by-step explanation:

First, we find the slope, and to find the slope;[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]

Slope : -3

Now we fill in the equation with a point and find the y- intercept:

2 = -3(1) + b

2 = -2 + b

4 = b

y = -3x + 4

SpiritInlyidn

Answer:

[tex]y = - 3x + 5[/tex]

Step-by-step explanation:

to find the gradient/slope between these points:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} } [/tex]

[tex] \frac{ - 1 -2}{2 - 1} = - 3[/tex]

the gradient is -3

we need to write the equation in the form y=mx+c. Choose any of the two coordinates in the question. I'll choose (1,2).

y is 2, x is 1 and m is the gradient which is -3

working out c:

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

[tex]2 = - 3(1) + c[/tex]

[tex]2 = - 3 + c[/tex]

add 3 on both sides

[tex]2 + 3 = c[/tex]

[tex]c = 5[/tex]

final equation:

[tex]y - = - 3x + 5[/tex]

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.