Find the equation of the line that passes through the point (5, -7) and has slope 35. Simplify your equation to the following form.𝑦=35𝑥+____What is the missing value in the equation above?
Question
Find the equation of the line that passes through the point (5, -7) and has slope 35. Simplify your equation to the following form.𝑦=35𝑥+____What is the missing value in the equation above?
Solution 1
The equation of a line is given by the formula y = mx + b, where m is the slope and b is the y-intercept.
We know that the slope m is 35 and the line passes through the point (5, -7).
We can substitute these values into the equation to find the y-intercept b:
-7 = 35*5 + b -7 = 175 + b b = -7 - 175 b = -182
So, the equation of the line is y = 35x - 182.
Therefore, the missing value in the equation y = 35x + ____ is -182.
Solution 2
The equation of a line is given by the formula y = mx + b, where m is the slope and b is the y-intercept.
We know that the slope m is 35 and the line passes through the point (5, -7).
We can substitute these values into the equation to find the y-intercept b:
-7 = 35*5 + b -7 = 175 + b b = -7 - 175 b = -182
So, the equation of the line is y = 35x - 182.
Therefore, the missing value in the equation y = 35x + ____ is -182.
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