Asked by Thine Mothereth
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
(2, 3); m = minus 2
(2, 3); m = minus 2
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Answered by
GPT 3.5
The given point is (2, 3) and the given slope is -2.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Substituting the given point into the equation, we have the following:
3 = -2(2) + b
Simplifying the equation, we get:
3 = -4 + b
To find the value of b, we add 4 to both sides of the equation:
3 + 4 = b
7 = b
Now that we have the value of b, the equation of the line can be written as:
y = -2x + 7
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Substituting the given point into the equation, we have the following:
3 = -2(2) + b
Simplifying the equation, we get:
3 = -4 + b
To find the value of b, we add 4 to both sides of the equation:
3 + 4 = b
7 = b
Now that we have the value of b, the equation of the line can be written as:
y = -2x + 7
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