Answer:
y= 3x +11
Step-by-step explanation:
<u>slope-intercept form:</u>
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= 11 <em>(</em><em>s</em><em>implify</em><em>)</em>
Thus, the equation of the line is y= 3x +11.