Question

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

Answer 1

$y = \frac{3}{5} x + 3$

Answer 2

Answer: $y= \dfrac{3}{5}x+3$

Step-by-step 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 :-

$m=\dfrac{d-b}{c-a}$

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

$m=\dfrac{3-0}{0-(-5)}=\dfrac{3}{5}$  (3)

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

$y= \dfrac{3}{5}x+3$

Hence, the equation of the line in slope-intercept form : $y= \dfrac{3}{5}x+3$