Question

Write the equation of the line that passes through the given points.
(- 9,0) and (0,3)
The equation of the line is
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Answer 1

To find the equation of the line, we first need to calculate the slope. The formula to find the slope (m) is:

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

Let's use the points (-9,0) and (0,3):

m = (3 - 0) / (0 - (-9))
m = 3 / 9
m = 1/3

Now that we have the slope, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Let's choose the point (0,3) to substitute into the equation:

y - 3 = (1/3)(x - 0)

Now simplify the equation:

y - 3 = (1/3)x
y = (1/3)x + 3

So, the equation of the line that passes through the points (-9,0) and (0,3) is y = (1/3)x + 3.