33Which line is perpendicular to the line shown on the graph?OA y=-3x+2Ob y=-x-4Oc y= fx+1OD y=x+1

Mathematics

1 answer:

Lina20 [59]1 year ago

8 0

First, we have to find the slope of the given line using the following formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the points (-3,-3) and (0,-1).

$m=\frac{-1-(-3)}{0-(-3)}=\frac{-1+3}{3}=\frac{2}{3}$

Then, we use the formula for perpendicular slopes to find the new perpendicular slope.

$\begin{gathered} -\frac{2}{3}\cdot m=-1 \\ m=\frac{3}{2} \end{gathered}$

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What does it mean when two functions are inverse of each other?

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Write the slope-intercept form of the equation of the line through the given point with the given slope.

Alexandra [31]

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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