A photo lab manager graphed the cost of having photos developed as a function of the number of photos in the order. The graph is a line with a slope of 1/10th that passes through (10,6). Write an equation in slope-intercept form that describes the cost to have photos developed.
look back at your previous post of this same question
Got it.... Thanks so much!!!
To write an equation in slope-intercept form, we need two pieces of information: the slope and the y-intercept.
Given that the slope is 1/10th, we can use the formula y = mx + b, where m represents the slope and b represents the y-intercept.
We know that the slope (m) is 1/10th, so our equation becomes y = (1/10)x + b.
To find the y-intercept (b), we can use the fact that the graph passes through the point (10,6).
By plugging in the coordinates (x,y) = (10,6) into the equation, we get 6 = (1/10)(10) + b.
This simplifies to 6 = 1 + b.
To isolate b, we subtract 1 from both sides of the equation, giving us b = 6 - 1 = 5.
Now that we have both the slope (1/10th) and the y-intercept (5), we can substitute these values into the equation y = mx + b.
Therefore, the equation in slope-intercept form that describes the cost to have photos developed is y = (1/10)x + 5.