Question

HELP ASAP 40 POINTS What is an equation for the linear function whose graph contains the point (9, 7) and a slope of 3?

Enter your answers in the boxes.

y−_ = _(x−9)

Answer 1

To find the equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can use the given point (9, 7) and the slope 3 as follows:

y - y1 = m(x - x1) (point-slope form of a line)
y - 7 = 3(x - 9) (substitute m = 3, x1 = 9, and y1 = 7)
y - 7 = 3x - 27
y = 3x - 20

Therefore, the equation of the linear function with a slope of 3 that passes through the point (9, 7) is:

y - 7 = 3(x - 9) or y = 3x - 20

Note: The first box should be left blank as it represents the y-coordinate of the point on the line. The second box should have the value of the slope, which is 3

Answer 2

y - 7 = 3 ( x - 9 )