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,

Question

Fiesta28 [93]

3 years ago

8

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?

Mathematics

2 answers:

makkiz [27] · Answer 1 · 2022-05-14T17:47:27+03:00

makkiz [27]3 years ago

7 0

Answer:

The answer is -9. hope it helps

expeople1 [14] · Answer 2 · 2022-05-14T15:32:58+03:00

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 <span>
</span>