Write an equation for a line to pass through the point (2,3) and has a slope of -4

y = -4x + 11

Step-by-step explanation:

Equation of a line is

y - y_1 = m ( x - x _1)

We are provided

Slope = m = -4

Points = (x _1 , y_1) = (2, 3)

Insert the values

y - y_1 = m( x - x_1)

y - 3 = -4(x - 2)

Open the bracket with -4

y - 3 = -4x + 8

y - 3 -8 = -4x

y - 11 = -4x

Following this equation of a line

y = mx + C

y - intercept point y

m - slope

x - intercept point x

C - intercept of the line

y - 11 = -4x

y = -4x + 11

Therefore, the equation of the line is

y = -4x + 11