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5
A line passes through the point (4, - 7) and has a slope of
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4
Write an equation in slope-intercept form for this line.

Sagot :

Answer: y = 4x-23

Step-by-step explanation:  I'm assuming the question asks:  "A line passes through the point (4, - 7) and has a slope of 4."  I had difficulty understanding the format of the question.  Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

We can start with y = 4x + b, since we are given the slope.  We can then use the given point (4,-7) to find b, since this point is on the line and thus satisfies the equation.

y = 4x + b

-7 = 4(4) + b

-7 = 16 + b

b = - 23

The equation is y = 4x-23