Respuesta :

Answer:

y = -3x

Step-by-step explanation:

The standard expression of equation of a  line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

Step-by-step explanation:

The linear equation in slope intercept form of the lines that passes through (1,3) and (-3,-5) is y = 2x + 1

The slope intercept form is represented as follows:

  • y = mx + b

where

m = slope

b = y-intercept

let's find slope:

(1, 3)(-3, -5)

m = -5 - 3 / -3 - 1 = - 8 / -4 = 2

Therefore,

let's find b using (1, 3)

y = 2x + b

3 = 2 + b

b = 1

Finally, the linear equation in slope intercept form will be as follows:

  • y = 2x + 1

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