Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? –15 –9 3 9
Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? –15 –9 3 9
-9
Step-by-step explanation:
b = -9.
Step-by-step explanation:
The line passes through (4, 3) and (7, 12). First, we need to find the slope: the rise over the run.
(12 - 3) / (7 - 4) = 9 / 3 = 3.
Now that we have the slope, we can say that m = 3. So, we have an equation of y = 3x + b. To find b, we can use M(4, 3) and say that y = 3 and x = 4.
3 = 3 * 4 + b
b + 12 = 3
b = -9.
Hope this helps!
-9 is the corect answer on edgunity
b=1
Step-by-step explanation
Vertical difference “y”
Y2-Y1= 7-3=4
Horizontal difference
x2-x1=12-4=8
Slope is =(y2-y1)/(x2-x1)
M=4/8= 1/2
3=1/2(4)+b
3=2+b
b=3-2
B=1
b = -9
Step-by-step explanation:
As we go from M(4, 3) to N(7, 12), x increases by 3 and y increases by 9. Thus, the slope of the line segment connecting these two points is m = rise / run = m = 9/3, or just m = 3.
Subbing the coordinates of M into y = mx + b, we get:
3 = 3(4) + b, or 3 = 12 + b, so that b = -9.
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9
The answer is -9. hope it helps
its B on E2020
Step-by-step explanation:
-9
This should be right. Hope this helped
For finding the value of b, we must consider that Line MN passes through points M(4, 3) and N(7, 12). With this condition y = mx + b, can be written 3=4m+ b (because line passes through M(4,3) ) and 12=7m+b, b ( because line passes through M(7,12)). We have a system of equation 4m+ b=3 7m+b=12 For solving this, 4m+b- (7m+b)= 3-12, it is equivalent to -3m= -9 and then m=3, if m=3 so 4x3 +b =3 implies b= 3 -12= -9, so the value of b= -9