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