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Write the equation of a line that has a slope of -4 and goes through (-2,7).

User Akyegane
by
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1 Answer

7 votes

Answer:


y = -4x - 1

Explanation:

Equation of a line is given as:

y = mx + b

Where

m is the slope

and

b is the y-intercept (y-axis cutting point)

Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

x = -2

and

y = 7

Plugging these 2 values, we can solve for b:

y = -4x + b

7 = -4(-2) + b

7 = 8 + b

b = 7 - 8

b = -1

Now, we have the equation:


y = -4x - 1

User Kevin Smyth
by
8.1k points

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