Question

Observe a reta no plano
cartesiano. A função (LEI) que
determina à reta é:
a) y= 2x+2
b) y= 2x+1
c) y= -2x+3
d) y= 2x-1​

Answer 1

$\large\boxed{\begin{array}{l}\sf a~reta~passa~pelos~pontos~ A(1,3)~B(2,5)\\\sf m=\dfrac{y_B-y_A}{x_B-x_A}\\\sf m=\dfrac{5-3}{2-1}\\\sf m=\dfrac{2}{1}\\\sf m=2\\\sf y=y_0+m(x-x_0)\\\sf y=3+2\cdot(x-1)\\\sf y=3+2x-2\\\sf y=2x+1\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~b}}}}\end{array}}$