PART A:
Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2
PART B:
Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.
PART C:
Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.
PART D:
We can use point-slope form first:
y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.
Answer:
y= -7x -7
Step-by-step explanation:
All line equations can be represented in the form y = mx + c where a is the gradient or slope and b is the y intercept. (letters used for m and c may vary)
You have been given the slope, = -7 which you can put into y=mx+c
y = -7x + c
The function of a line ^^ means that for any values of x, you multiply it by -7 and add -7. The given coordinates means that when x =0, y = -7. So you can plug these into y = -7x + c , -7 = -7(0) + c . Therefore c = -7
Alternatively, since the value for c is the y intercept, the coordinates immediately give you the answer c. x = 0 which means taht the line intercepts the y axis when y = -7. hence the y intercept = -7
Increasing the value of a would change the slope of the function specifically it would increase as well. Therefore, the line would be steeper than the original. The term ab represents the slope of the function and changing either one would result to the change of the steepness of the line.
Answer:
1) yes and no you cant tell most the time but using common sense you can tell.
2)Yards, feet, inches, pounds, quarts, and miles are all part of the English system of measures. they are related because they all deal with unit of distance
3), the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers. they are related because they also deal with distance in metrics.
Step-by-step explanation: