Question

What is the y-intercept of a line that has a slope of negative 3 and passes through point 0 and -7

Answer 1

Answer:

The y-intercept of a line that has a slope of negative 3 and passes through point 0 and -7 is $y = -3x -7$

Solution:

Let us assume that the slope is m and the y intercept of the line is b

Hence, $y = mx +b$ --------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (0,-7) and slope m = (-3)

Now putting the point (0,-7) in equation (i) we get,

$\Rightarrow -7 = m\times0 +b$

Anything multiplied by 0 is 0,

$\Rightarrow -7 = 0+b$

$\Rightarrow b = -7$

So, the line will be $y = -3x -7$