Find the slope and y-intercept of the line.
-$$\text { Slope } = - \frac { 2 } { 3 } ; \text { containing the point } ( 0,5 )$$
A) 2x - 3y = 15
B) 2x + 3y = 15
C) 2x + 3y = -15
D) 3x + 2y = -15

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given the slope $-\frac{2}{3}$ and the y-intercept $5$, the equation becomes $y = -\frac{2}{3}x + 5$. Multiplying every term by $3$ to clear the fraction gives $3y = -2x + 15$, which rearranges to $2x + 3y = 15$, matching option B.

Find the Slope and Y-Intercept of the Line Slope =−23; containing the point (0,5)\text { Slope } = - \frac { 2 } { 3 } ; \text { containing the point } ( 0,5 ) Slope =−32​; containing the point (0,5)

Find the Slope and Y-Intercept of the Line $\text { Slope } = - \frac { 2 } { 3 } ; \text { containing the point } ( 0,5 )$