Respuesta :

hnori22003

see what should to do buddy :

step 1-

first we have to find the gradient of the line like this:

a ( 1 , 1 )

b ( 3 , 4 )

.

step 2-

now just need one of the a or b point to put in this equation :

.

step 3-

to find the standard form of the line we have to take the y alone.

so we add the sides of the equation plus 1.

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

And we're done.

good luck buddy ♥️♥️♥️♥️♥️

Standard form of the line passing through points (1, 1) and (3, 4) is

y = (3 / 2)x  - (1 / 2).

What is line?

"Line is a one dimensional figure which has only one dimension that is length no other dimension present in it."

Formula used

( x₁ , y₁) and (x₂ , y₂) are the two points through which line passes

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

According to the question,

Given ,Line passes through points( 1, 1 )and (3,4)

Substitute the value in the formula to get standard form of line we get,

  [tex]\frac{x-1 }{3 -1} =\frac{y-1 }{4 -1 }[/tex]

⇒3(x -1) = 2(y -1 )

⇒3x -3 = 2y -2

⇒y = (3/2)x - (1/2)

Hence, standard form of the line passing through points (1, 1) and (3, 4) is

y = (3 / 2)x  - (1 / 2).

Learn more about line here

https://brainly.com/question/21511618

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