Question

Find an equation of the line that has intercepts (1,0) and (0,4).

Answer 1

y=-4x+4

Explanation:

Slope=(4-0)/(0-1)=

4/-1=

-4

(0,4)- y-intercept.

b=4.

y=-4x+4.

Answer 2

y= -4x+4

Explanation:

y= mx+c is slope-intercept form of equation of line where m is slope and c is y-intercept.

In question statement,we observe that

x-intercept: (1,0)

y-intercept: (0,4)

We have to find slope for line.

Slope= m =
`y_(2) -y_(1) /x_(2)-x_(1)`

Slope= m = 4-0/0-1

Slope = m = 4/-1

Slope = m = -4

y-intercept= c = 4

Putting the values of slope and y-intercept in slope intercept form,we get

y= -4x+4 is equation of line that has intercepts (1,0) and (0,4).