Question

What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.

Answer 1

`y = (3)/(5) x + 3`

Answer 2

Answer:
`y= (3)/(5)x+3`

Explanation:

The equation of the line in slope-intercept form is given by :-

`y= mx+b` (1)

, where m= slope of line and b = y-intercept.

From the given graph , it can be seen that the y-intercept of graph is at y= 3.

⇒b=3 (2)

Also, the slope of a line passing through two points (a,b) and (c,d) is given by :-

`m=(d-b)/(c-a)`

The slope of given line passing through (-5,0) and (0,3) will be :_

`m=(3-0)/(0-(-5))=(3)/(5)` (3)

Substitute value of b and m from (2) and (3) respectively in equation (1), we get

`y= (3)/(5)x+3`

Hence, the equation of the line in slope-intercept form :
`y= (3)/(5)x+3`