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GIVING BRAINLIEST!!!!!!

Write an equation in slope-intercept form to represent the relationship in the table below.


GIVING BRAINLIEST Write An Equation In Slopeintercept Form To Represent The Relationship In The Table Below class=

Sagot :

y=2x+3,when x is equal to 0,y is equal to 3, which means intercept is equal to 3

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

Choose 2 ordered pairs from the table:  (0, 3) and (5, 13)

Let [tex](x_1,y_1)[/tex] = (0, 3)

Let [tex](x_2,y_2)[/tex] = (5, 13)

Use the slope formula to find slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies m=\dfrac{13-3}{5-0}=2[/tex]

Use point-slope form of linear equation to find equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=2(x-0)[/tex]

[tex]\implies y=2x+3[/tex]