Question

choose the equation below that represents the line passing through the point (2, – 5) with a slope of −3. y = −3x − 13 y = −3x 11 y = −3x 13 y = −3x 1

Answer 1

General equation of line;
y=mx+c
y=-3x+c
Replacing for x and y;
-5=-3(2)+c
-5=-6+c
c=-5+6
c=1
y=-3x+1

Answer 2

Answer:

y = -3x + 1

Step-by-step explanation:

Let the equation of the line is y = mx + c

Where m = slope of the line

and c = y - intercept

Slope = -3

So the equation of the line will be

y = (-3)x + c

Since this line passes through a point (2, -5)

By plugging in the values in the equation,

-5 = -3(2) + c

-5 = -6 + c

c = 6 - 5

c = 1

Therefore, the equation of the line will be, y = (-3)x + 1