Question

This table gives a few (x,y) pairs of a line in the coordinate plane.(34, -52), (51,-65), (68, -78).What is the y-intercept of the line? PLSSSSS ANSWER!!!!

Answer 1

The y-intercept of the line is: -26

Step-by-step explanation:

First of all we have to find the slope of the given function

So,

Using any two pairs of x,y

$m = \frac{change\ in\ y}{Change\ in\ x}\\=\frac{-65+52}{51-34}\\\\=-\frac{13}{17}$

The equation of a function is given by the formula

$y = mx+b$

Putting the value of slope

$y = -\frac{13}{17}x+b$

In order to find the y-intercept , we have to put any pair in the equation

putting (34,-52) in equation

$-52 = -\frac{13}{17}(34) + b\\-52 = -13 * 2 + b\\-52 = -26 + b\\b = -52+26\\b = -26$

Hence,

The y-intercept of the line is: -26

Keywords: Line, equation of line

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