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.)
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.