Graph the line that passes through the point (3, 9)and has an y -intercept of 6. What is the x -intercept of this line?

Question

Quizplus · Accepted Answer

To find the equation of the line, we need to use the point-slope formula:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

We know the y-intercept is 6, so the point (0,6) must be on the line. Using this and the given point (3,9), we can calculate the slope:

m = (9 - 6)/(3 - 0) = 1

So the equation of the line is:

y - 9 = 1(x - 3)

Simplifying this, we get:

y = x + 6

To find the x-intercept, we set y = 0 and solve for x:

0 = x + 6
x = -6

So the x-intercept is -6.

Graph the Line That Passes Through the Point (3, 9)and