To find the y-intercept, we need to find the value of y when x is 0.
First, we need to find the equation of the line that passes through the two given points. We can use the point-slope form of a line:
(y - y1) = m(x - x1)
where m is the slope of the line, and (x1, y1) is one of the given points.
m = (y2 - y1) / (x2 - x1) = (9 - 7) / (6 - 3) = 2/3
Let's use point (3,7):
(y - 7) = (2/3)(x - 3)
y = (2/3)x + 5
Now, let's plug in x = 0:
y = (2/3)(0) + 5 = 5
Therefore, the y-intercept is 5.
What is the y -intercept of a line that goes through the points (3,7) and (6,9) ?
1 answer