Answer:
b = 17
Step-by-step explanation:
Substitute the given coordinates x = 5 and y = 2 into y = mx + b and then solve the resulting equation for b:
2 = -3(5) + b, or
2 = -15 + b
Then b = 17, and the desired equation is y = -3x + 17.
The value of b is 17 if the equation y=−3x+b goes through point B(5, 2).
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The missing figure is attached to the picture, please refer to the picture.
It is given that:
y = −3x + b
-3 is the slope of the line,
The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The above line passes through point B (5, 2)
Plug the point in the equation of the line y = −3x + b
x = 5
y = 2
2 = -3(5) + b
2 = -15 + b
b = 17
The value of b is 17
Thus, the value of b is 17 if the equation y=−3x+b goes through point B(5, 2).
Learn more about the straight line here:
brainly.com/question/3493733
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