Qual è l'equazione della linea che passa attraverso (3, -7) e (-2, 4)?

Risposta:

y=-11/5x-2/5

Spiegazione:

"the equation of a line in "color(blue)"slope-intercept form" is.

color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))

"where m is the slope and b the y-intercept"

"to calculate m use the "color(blue)"gradient formula"

color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))

"let "(x_1,y_1)=(3,-7)" and "(x_2,y_2)=(-2,4)

rArrm=(4-(-7))/(-2-3)=11/(-5)=-11/5

rArry=-11/5x+blarr" partial equation"

"to find b substitute either of the 2 given points into"
"the partial equation"

"using "(-2,4)

4=22/5+brArrb=-2/5

rArry=-11/5x-2/5larrcolor(red)" in slope-intercept form"

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