Question

Intercept from a table

Answer 1

Firstly, we will find equation of line

We can find equation of any line by selecting any two points

(10,20) and (15,12)

firstly , we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

x1=10 , y1=20 , x2=15 and y2=12

$m=\frac{12-20}{15-10}$

$m=-\frac{8}{5}$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

$y-20=-\frac{8}{5}(x-10)$

now, we can solve for y

$y=-\frac{8}{5}x+36$

x-intercept:

For finding x-intercept , we can set y=0

and then we can solve for x

$0=-\frac{8}{5}x+36$

$x=\frac{45}{2}$............Answer

y-intercept:

For finding y-intercept , we can set x=0

and then we can solve for y

$y=-\frac{8}{5}*0+36$

$y=36$............Answer