Write the​ slope-intercept form of the equation of the line satisfying the given conditions.

Through ​(3​,8​); slope −4

1 answer

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Since the slope of the line is given as -4, we have m = -4.

To find b, we can substitute the coordinates (3,8) into the equation:

8 = -4(3) + b

Simplifying, we have:

8 = -12 + b

Adding 12 to both sides:

20 = b

Therefore, b = 20.

So, the slope-intercept form of the equation of the line is:

y = -4x + 20