Question

What happens to y as x gets larger?

What happens to x as y gets larger?

d) Given a line containing the points (1,4), (2,7), and (3,10) determine the slope-intercept form of the equation, provide one additional point on this line, and graph the function.

Equation in Slope-Intercept Form:
slope=7-4 over 2-1, or 3 over 1, which is 3. The equation is then y-4=3(x-1).
Show your work here: y-y1=m(x-x1), so y-4=m(x-1). Slope, or m, is y2-y1 over x2-x1. With the first two points, slope=7-4 over 2-1, or 3 over 1, which is 3. The equation is then y-4=3(x-1). After doing basic algebra, the slope-intercept form of the equation is y=3x+1.

Give one additional point in (x,y) form that would fall on this line:

Graph:


if y=3x +1 as x gets larger, y gets larger.

then x=y/3 -1 as y gets larger, x gets larger.