Question

Writing a linear equations

Answer 1

y = (1/6)x - 3

Step-by-step explanation:

The line goes through (0, -3) and (6, -2) and the slope is given by

m = (y2 - y1)/(x2 - x1)

= (-2 -(-3))/(6 - 0)

= 1/6

so the slope-intercept form of a linear equation is given by

y = mx + b

Using the value of m we just obtained and using the point (0, -3) to find b, we get

(-3) = (1/6)(0) + b ---> b = -3

Therefore, the equation takes the form

y = (1/6)x - 3