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3 years ago

Write AN EQUATION of the line that passes through the given points (-1,4) and (2,-5)

1 answer:

7 0

Answer: y = -3x + 1

step-by-step process
find the slope first using (y-y)/(x-x)
(4-(-5))/(-1-2) = 9/(-3)
m = -3

then use one of the points to find the y-intercept by putting it in y=mx+b, substituting m with -3 (aka the slope) as well
4 = -3(-1) + b
4 = 3 + b
4 - 3 = 3 + b - 3
1 = b

therefore, the equation for the line is: y=-3x+1

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3 years ago

What is the distance between (-5,5) and (2,6) rounding to the nearest hundred

ExtremeBDS [4]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -5}}\quad ,&{{ 5}})\quad 
% (c,d)
&({{ 2}}\quad ,&{{ 6}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[2-(-5)]^2+[6-5]^2}\implies d=\sqrt{(2+5)^2+(6-5)^2}
\\\\\\
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4 years ago

Solve for .

bezimeni [28]

Answer:

smaller x =-1/2

larger x = 7

Step-by-step explanation:

(x-7)(-4x - 2) = 0

Using the zero product property

(x-7)=0 (-4x - 2) = 0

x-7+7 = 0+7 -4x-2-2 =0+2

x=7 -4x =2

-4x/-4 = 2/-4

x = -1/2

4 0

3 years ago