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In slope-intercept form, what is the equation of the line passing through the points (2, 13) and (5, 22)?

y = −3x + 19
y equals start fraction one over three end fraction x plus seven
y = 3x + 7
y = 3x − 7

Respuesta :

ghanami

 

Hello : let  A(5,22)    B(2,13)
the slope is :   (YB - YA)/(XB -XA)
(13-22)/(2-5)  = -9/-3
an equation is : y=ax+b     a is a slope

y = 3x +b

 

the line through point A (5,22) :  22 = 3(5)+b
b = 7
the equation is : y =3x+7

Parrain

Based on the points of the line, the slope-intercept form equation of the line would be y =3x + 7.

What is the equation of the line?

First, find the slope:

= (22 - 13) / (5 - 2)

= 3

You can then find the value of c using the point (2, 13):

y = mx + c

13 = 3(2) + c

c = 7

Complete formula is:

y = 3x + 7

Find out more on the slope-intercept form at https://brainly.com/question/1884491.

#SPJ5

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