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A coordinate plane with a line passing through (negative 3, 2) and (0, 3)
Find the linear function represented by the graph.
The slope of the line is
✔ 1/3
The y-intercept of the line is at
✔ 3
What linear function is represented by the graph?
✔ f(x) = (1/3)x + 3

A coordinate plane with a line passing through negative 3 2 and 0 3 Find the linear function represented by the graph The slope of the line is 13 The yintercept class=

Respuesta :

Let's check

[tex]\\ \sf\longmapsto Slope=m=\dfrac{3-2}{0+3}=\dfrac{1}{3}[/tex]

  • Y intercept is 3✓

Now

let f(x) be y

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{3}x+3=f(x)\checkmark[/tex]

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find the slope (m) of given line :

  • [tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

  • [tex] \dfrac{3 - 2}{0 - ( - 3 )}[/tex]

  • [tex] \dfrac{1}{3} [/tex]

Hence, The slope of the line is

✔ 1/3

y - intercept (c) is the value of y, when x = 0

or y - coordinate of point at which the line

cuts y - axis.

that is : 3 ✔

the linear function represented by the graph is :

  • [tex]f(x) = \dfrac{1}{3} x + 3[/tex]

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