Mathematics: Find the y-intercept of the line of the graph

Find the y-intercept of the line of the graph

areanna02

09.03.2022

y=2

Step-by-step explanation:

Hello

we can use two points and find the equation of the line

let

P1(1,5) P2(-1,-1)

the slope is

$m=\frac{y2-y1}{x2-x1}\\ m=\frac{-1-5}{-1-1}\\m=\frac{-6}{-2}\\\\m=3\\$

Now, with P1 and the slope-point equation find f(x)

$y-y_{0}=m(x-x_{0})\\ y-5=3(x-1)\\y=3x+2$

the line interceptes y-axis when x=0,the value of y-intercept is

y=3(0)+2

y=0+2

y=2, intercept

I hope it helps

have a fantastic day

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