Answer: y = 3x - 19
Step-by-step explanation:
The equation of line in the slope intercept form is give as :
y = mx + c , where m is the slope and c is the y - intercept.
The points given : ( 4 , -7 )
slope = 3
Using the formula
y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex] )
substituting the given values , we have
y - (-7) = 3 ( x - 4 )
y +7 = 3x - 12
y = 3x -12 - 7
y = 3x - 19
This gives the equation of the line in slope - intercept form.