Answer:
the required equation is y = 4x + 19
Step-by-step explanation:
Given , :- the line meets at point ( -5 , -1 )
and slope of the line is 4
• To form an equation when one point and it's slope is given ,
we use ;
( y - y1 ) = m ( x - x1 )
Where , x and y are variables
and x1 and y1 are the points where the line meet !
and m is slope of the tangent !!
So, putting all the values in the equation we get ,
( y - ( -1 ) ) = 4 ( x - ( - 5 ))
y + 1 = 4 ( x + 5 )
y + 1 = 4x + 20
y = 4x + 20 - 1
y = 4x + 19
• Slope intercept form of the equation
y = mx + c
y = mx + c Where , m is slope of the line
y = mx + c Where , m is slope of the line and c is y intercept !!
Hence , here m = 4 and c = 19
So, the required equation is y = 4x + 19
