$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad 
(\stackrel{x_2}{3}~,~\stackrel{y_2}{25})
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{25-5}{3-(-2)}\implies \cfrac{25-5}{3+2}
\\\\\\
\cfrac{20}{5}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=4[x-(-2)]
\\\\\\
y-5=4(x+2)\implies y-5=4x+8\implies y=4x+13$

5 0

3 years ago

What is this equations name: ax+by=c

Tju [1.3M]

This is standard form for a linear equation

4 0

3 years ago

Calculate the distance between the points (-8,1) and (0,7)

guapka [62]

Answer:

10 units

Step-by-step explanation:

$\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}$

Using the distance formula above,

distance between the 2 points

$= \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units$

8 0

4 years ago