Question

if slope of the line through [2, -7] and [x, 5] is 3 then x =​

Answer 1

$\huge\mathtt{\fbox{\red{Answer✍︎}}}$

$\large\underline\pink{\mathfrak{GIVEN,}}$

$\sf\dashrightarrow \red{A(x_1,y_1)=(2,-7)}$

$\sf\dashrightarrow \red{B(x_2,y_2)=(x,5)}$

$\sf\dashrightarrow \red{x_1=2}$

$\sf\dashrightarrow \red{x_2=x}$

$\sf\dashrightarrow \red{y_1=-7}$

$\sf\dashrightarrow \red{y_2= 5}$

$\large\underline\bold{\purple{\mathfrak{TO\:FIND,}}}$

$\sf\dashrightarrow \green{the\:value\:of\:x}$

FORMULA ,

$\rm{\boxed{\sf{ \circ\:\: slope= \dfrac{y_2-y_1}{x_2-x_1}\:\: \circ}}}$

$\large\underline\pink{\mathfrak{SOLUTION,}}$

$\sf\therefore\text{ \red{putting the values in the formula and solving it,}}$

$\sf\dashrightarrow \blue{\dfrac{5-(-7)}{x-2} = 3}$

$\sf\implies \blue{\dfrac{ 5+7}{x-2}= 3}$

$\sf\implies \blue{ \dfrac{ 12}{x-2}= 3}$

$\sf\implies \blue{ 12= 3 \times(x-2) }$

$\sf\implies \blue{12= 3x-6}$

$\sf\implies \blue{ 12+6=3x}$

$\sf\implies \blue{18= 3x}$

$\sf\implies \blue{x= \dfrac{ 18}{3}}$

$\sf\implies \blue{x=\cancel \dfrac{ 18}{3}}$

$\sf\implies \green{x=6}$

$\rm{\boxed{\sf{ \circ\:\: x= 6\:\: \circ}}}$

$\large\underline\mathtt{\purple{THE\:VALUE\:OF\:X\:IS\:6.}}$

Answer 2

Answer:

$⇢A(x1,y1)=(2,−7)</p><p></p><p>\sf\dashrightarrow \red{B(x_2,y_2)=(x,5)}⇢B(x2,y2)=(x,5)</p><p></p><p>\sf\dashrightarrow \red{x_1=2}⇢x1=2</p><p></p><p>\sf\dashrightarrow \red{x_2=x}⇢x2=x</p><p></p><p>\sf\dashrightarrow \red{y_1=-7}⇢y1=−7</p><p></p><p>\sf\dashrightarrow \red{y_2= 5}⇢y2=5</p><p></p><p>\large\underline\bold{\purple{\mathfrak{TO\:FIND,}}}TOFIND,</p><p></p><p>\sf\dashrightarrow \green{the\:value\:of\:x}⇢thevalueofx</p><p></p><p>FORMULA ,</p><p></p><p>\rm{\boxed{\sf{ \circ\:\: slope= \dfrac{y_2-y_1}{x_2-x_1}\:\: \circ}}}∘slope=x2−x1y2−y1∘</p><p></p><p>\large\underline\pink{\mathfrak{SOLUTION,}}SOLUTION,</p><p></p><p>\sf\therefore\text{ \red{putting the values in the formula and solving it,}}∴ putting the values in the formula and solving it,</p><p></p><p>\sf\dashrightarrow \blue{\dfrac{5-(-7)}{x-2} = 3}⇢x−25−(−7)=3</p><p></p><p>\sf\implies \blue{\dfrac{ 5+7}{x-2}= 3}⟹x−25+7=3</p><p></p><p>\sf\implies \blue{ \dfrac{ 12}{x-2}= 3}⟹x−212=3</p><p></p><p>\sf\implies \blue{ 12= 3 \times(x-2) }⟹12=3×(x−2)</p><p></p><p>\sf\implies \blue{12= 3x-6}⟹12=3x−6</p><p></p><p>\sf\implies \blue{ 12+6=3x}⟹12+6=3x</p><p></p><p>\sf\implies \blue{18= 3x}⟹18=3x</p><p></p><p>\sf\implies \blue{x= \dfrac{ 18}{3}}⟹x=318</p><p></p><p>\sf\implies \blue{x=\cancel \dfrac{ 18}{3}}⟹x=318</p><p></p><p>\sf\implies \green{x=6}⟹x=6</p><p></p><p>\rm{\boxed{\sf{ \circ\:\: x= 6\:\: \circ}}}∘x=6∘</p><p></p><p>\large\underline\mathtt{\purple{THE\:VALUE\:OF\:X\:IS\:6.}}THEVALUEOFXIS6.</p><p></p><p>$

Explanation:

okay mark as brainlist