<h3>y = 2x + 8 is the equation of line in slope intercept form</h3>
<em><u>Solution:</u></em>
Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14)
To find: Equation of the line in slope - intercept form
<h3><u>The equation of line in slope intercept form is:</u></h3>
y = mx + c ------ eqn 1
Where, "m" is the slope of line and "c" is the y intercept
<h3><u>Find the slope of line</u></h3>

From given,

Therefore,

Thus slope of line is 2
<h3><u>Find the y intercept:</u></h3>
Substitute m = 2 and (x, y) = (-5, -2) in eqn 1
-2 = 2(-5) + c
-2 = -10 + c
c = -2 + 10
c = 8
<h3><u>Thus the equation of line is:</u></h3>
Substitute c = 8 and m = 2 in eqn 1
y = 2x + 8
Thus the equation of line is found