Greetings!
Answer:
The equation is y = 2 - 3x
Explanation:
You can find the gradient by using the gradient formula:
[tex]\frac{y2 - y1}{x2 - x1}
Plug the values in:
[tex]\frac{5 - 2}{-1 - 0}
[tex]\frac{3}{-1}
Which is -3, so the gradient is -3
To find the equation of the line, use the following equation:
y - y1 = m(x - x1)
Where y1 and x1 are just the x and y coordinates in the same set. Let's use (0 , 2)
y1 = 2 , x1 = 0 and m is the gradient, which is -3:
y - 2 = -3(x - 0)
Expand the brackets:
-3 * x = -3x
-3 * 0 = 0
y - 2 = -3x
Move the -2 over to the other side making it a +2:
y = 2 - 3x
So the equation is y = 2 - 3x
Hope this helps!