Write an equation in slope-intercept form given the values f(0)=7 and f(3)=12

Answer 1

f(0)=7 =y intercept = b

f(3)=12, slope= (12-7)/(3-0)=5/3

y=mx +b

y= 5x/3 +7 in slope intercept form

or more explicitly

y= (5/3)x +7

Answer 2

Since f(0)=7, the y-intercept is 7. We have two points so we can use the slope equation to find the slope between the points.

m=rise/run

m=(y1-y0)/(x1-x0)

m=(12-7)/(3-0)

m=5/3=one and two-thirds

y=(5/3)x+7