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What are the y-intercept and the slope of the line represented in the graph?

A. y-intercept = -4 and slope = -2

B. y-intercept = 4 and slope = -2

C. y-intercept = 2 and slope = 4

D. y-intercept = 4 and slope = -4

What Are The Yintercept And The Slope Of The Line Represented In The Graph A Yintercept 4 And Slope 2 B Yintercept 4 And Slope 2 C Yintercept 2 And Slope 4 D Yi class=

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏx

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

[tex] \boxed{\mathrm{slope = - 2 }}[/tex]

and

[tex] \boxed{ \mathrm{y \: intercept =4 }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope, using the coordinates of points (2 , 0) and (0 , 4)

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

  • [tex] \dfrac{4 - 0}{0 - 2} [/tex]

  • [tex] \sf{ \dfrac{4}{ - 2} }[/tex]

  • [tex] - 2[/tex]

The y - intercept is the value of y - coordinate of the point on the line, where x - coordinate is 0 or the y - coordinate of the point where the line cuts the y - axis ~

that is y - coordinate of point (0 , 4)

  • [tex] \boxed{4}[/tex]
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