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Mathematics

1 answer:

vlada-n [284]2 years ago

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The value of the coefficient of xy is 0.

<h3>What is an algebraic expression?</h3>

It is an expression made of numbers and letters where the numbers are called coefficient.

Analysis:

(ax+by)(cx-dy)

ac $x^{2}$ -adxy +bcxy -bd $y^{2}$

But, ac = 18, ad=bc, bd = 50

18 $x^{2}$ -xy(bc -ad) - 50 $y^{2}$

since bc = ad, the coefficient of xy = 0

Learn more about algebraic expressions: brainly.com/question/2164351

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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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