Respuesta :
Answer:
equation: y = -2x + 7
Step-by-step explanation:
y = mx + b M: slope b: y intercept
m = -2
x = 3 and y = 1
b = y - mx = 1 - (- 2) x 3 = 7
equation: y = -2x + 7
check: ( 3,1) -2 x 3 + 7 = 1
Answer:
The equation of the required line is,
y = -2x + 7
Step-by-step explanation:
We know that equation of a line passing through the point (x₁, y₁) and having slope 'm' is given by
(y - y₁) = m(x - x₁)
Now, the required line passes through the point (3, 1) and has a slope of -2.
So, (x₁, y₁) = (3, 1) and m = -2
So, equation of the line passing through (3, 1) and having a slope of -2 is given by,
y - 1 = -2(x - 3)
⇒y - 1 = -2x + 6
⇒y = -2x + 6 + 1
⇒y = -2x + 7
So, the required equation of line in point-slope form is,
y = -2x + 7
