Question

A line passes through the point (-9,-6) and has a slope of 4/3

Write an equation in slope-intercept form for this line.

Answer 1

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.

Given that the slope is 4/3, we can substitute m = 4/3 into the equation:

y = (4/3)x + b

To find the value of b, we can substitute the coordinates (-9, -6) into the equation:

-6 = (4/3)(-9) + b

Simplifying the equation gives:

-6 = -36/3 + b
-6 = -12 + b

Adding 12 to both sides gives:

6 = b

Therefore, the equation of the line in slope-intercept form is:

y = (4/3)x + 6