Sam drives a delivery van. the equation c=0.5m+60 models the relation between his weekly cost, c, in dollars and the number of miles, m, that he drives. interpret the slope and c-intercept of the equation.

The slope is and c – intercept is 60

Solution:

Given that, Sam drives a delivery van.  

The equation C = 0.5m + 60 models the relation between his weekly cost, C, in dollars and the number of miles, m, that he drives.  

Finding the slope and c-intercept of equation:

Now if we observe the equation, it is of the form slope intercept form

y = mx + c where "m" is the slope of the equation and "c" is y – intercept

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Then, by comparison, slope = 0.5 and c –intercept = 60 for our equation.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4