Find the slope and y-intercept of the line.
-Slope $= - \frac { 3 } { 7 } ;$ containing the point $( 5,3 )$
A) $7 x + 3 y = - 36$
B) $3 x + 7 y = 36$
C) $3 x - 7 y = 36$
D) $3 x + 7 y = - 36$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$. Given the slope $m = -\frac{3}{7}$ and a point $(5, 3)$, substitute into the equation to find $b$: $3 = -\frac{3}{7}(5) + b$. Solving gives $b = \frac{36}{7}$. The equation is $y = -\frac{3}{7}x + \frac{36}{7}$. Multiplying through by 7 to clear fractions gives $3x + 7y = 36$, which matches choice B.

Find the Slope and Y-Intercept of the Line =−37;= - \frac { 3 } { 7 } ;=−73​;

Find the Slope and Y-Intercept of the Line $= - \frac { 3 } { 7 } ;$