The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
The given coordinate point is (-1, 5) and slope=-4.
<h3>What is the slope intercept form?</h3>
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get
5=-4×(-1)+c
⇒ c=5-4
⇒ c=1
Substitute m=-4 and c=1 in y=mx+c, we get
y=-4x+1
Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
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