Question

Need help finding y-intercept and the x-intercept

Answer 1

y-intercept = 1, x-intercept= -1/4

Explanation:

Default equation of line:

y = mx+c , where m is the slope and c is the y-intercept.

So first we will find the slope from the values given in the table.

slope of line
`(y1-y2)/(x1-x2)\\= (9-5)/(2-1) \\= (4)/(1)\\ =4`

So take 1 random value of x and y from the table,

x =1 , y=5

5 = 4(1)+c

c = 5-4 = 1

so equation of line is y = 4x+1

and y intercept = 1

x intercept is the value of x when y = 0.

so given

y = 4x+1

0 = 4x+1

4x = -1

x =
`-(1)/(4)`

therefore x intercept = -1/4