Respuesta :

Find slope (y2-y1)/(x2-x1)
(4-5)/(3-0) = -1/3
Y = -1/3x + b
5 = -1/3(0) + b, b = 5
Equation: y = -1/3x + 5

The slope intercep equation of the following points  (0,5) (3,4) will be y = (-1/3)x + 5.

What is the slope-intercept equation?

A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.

For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.

Another example is y = 3x + 7 here 3 will be the slope of that equation.

Slope m = difference in y coordinate/ difference in x coordinate.

Let's suppose our equation is y =mx + c

now m = (4 - 5)/(3 - 0)

m = -1/3 now for c put both point in the equation we get as 5.

So y = (-1/3)x + 5 will be correct slope intercept form.

For more information about slope intercept form

https://brainly.com/question/9682526

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