Respuesta :

lolahomiston2

Answer:

y=3/4x+5/4

Step-by-step explanation:

equation to use: y1-y2/x2-x1 so you get -3/-4 so your slope is 3/4 and you plug that into one of your point equations im going to use the first one so 2=3/4(1) +b so you are going to get 5/4 for b so your equation is y=3/4x + 5/4

Let me know if this helped!

absor201

Answer:

An equation in slope-intercept form of the line that passes through the points (1,2) and (-2,-1) will be:

  • y = x+1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope  
  • b is the y-intercept

Given the points

  • (1, 2)
  • (-2, -1)

Finding the slope between (1,2) and (-2,-1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]

[tex]m=\frac{-1-2}{-2-1}[/tex]

[tex]m=1[/tex]

substituting m = 1 and (1, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

2 = 1(1) + b

2 = 1+b

b = 2-1

b = 1

substituting m = 1 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 1(x) + 1

y = x+1

Therefore, an equation in slope-intercept form of the line that passes through the points (1,2) and (-2,-1) will be:

  • y = x+1

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