Question

Can someone help with this please?

Answer 1

Given:

The table represents a linear function.

To find:

The y-intercept, slope and equation of linear function.

Solution:

Consider any two points from the given table, i.e., (0,-5) and (1,-1).

Equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-(-5)=\dfrac{-1-(-5)}{1-0}(x-0)$

$y+5=\dfrac{-1+5}{1}(x)$

$y+5=4x$

Subtracting 5 from both sides, we get

$y=4x-5$

On comparing this equation with slope intercept form $y=mx+b$, where, m is slope and y-intercept is b, we get

$m=4,=-5$

Therefore, y-intercept is -5, slope is 4 and equation is $y=4x-5$.