Indicate in standard form the equation of the line passing through the given point and having the given slope. C(0, 4), m = 0
Mathematics · College · Thu Feb 04 2021
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Given:
C (0, -4)
x1 = 0
y1 = -4
m = -4
Write the equation in standard form.
The equation of the line in standard form can be written in slope-intercept form. Before writing in slope-intercept form, we must first equate in point-slope form.
Formula for the point-slope form:
y -y1 = m (x - x1)
Formula for the slope-intercept form
y = mx + b
Solution:
Solve for point-slope form first, before going to slope-intercept form.
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-4) =0 ( x - 0)
y + 4 = 0
In order to equate to slope-intercept form, we simply transpose 4 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y = -4
Final answer:
y = -4