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Write the STANDARD FORM equation given the following information 10) through: (-3,4), slope = -2

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Answer

The standard form of the equation of the straight line is

y = -2x - 2

Step-by-step explanation

The standard form of the equation of a straight line is

y = mx + c

where

y = y coordinate of any point on the line

m = slope of the line

x = corresponding x coordinate of the point on the line whose y coordinate is y.

c = y-intercept of the line

The question gives us the coordinates of a point on the line; (-3, 4) and the slope of the line; m = -2

Noting that the coordinates of points are written as (x, y), x = -3 and y = 4

We then substitute these into the standard equation of a straight line

y = mx + c

4 = (-2 × -3) + c

4 = 6 + c

6 + c = 4

c = 4 - 6

c = -2

So, since we have the values of m and c, we can write the general standard form for this line

y = mx + c

m = -2, c = -2

y = -2x - 2

Hope this Helps!!!

User Nilani Algiriyage
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