Answer:
1. m = -3 b = 2
2. m = 1/2 b = -1
3. m = -1 b = 79
4. m = 2 b = -2
5. y = -4x + 3
Step-by-step explanation:
1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.
2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept
3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.
4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to y = mx + b. you get -2 = -2(0) + b. so, b = -2.
5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3
