Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope $

Question

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope $< \frac { 1 } { 3 }$, through $( 10 , - 1 )$
A) $y = < \frac { 1 } { 3 } x + \frac { 7 } { 3 }$
B) $y = < \frac { 1 } { 3 } x + 3$
C) $y = < \frac { 1 } { 3 } x + \frac { 13 } { 3 }$
D) $y = \frac { 1 } { 3 } x - \frac { 7 } { 3 }$

Quizplus · Accepted Answer

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope is 1/3 and that the line passes through the point (10, -1). Substituting these values into the slope-intercept form, we get y = (1/3)x + b. To find the value of b, we can substitute the point (10, -1) into the equation: -1 = (1/3)(10) + b. Solving for b, we get b = -7/3. Therefore, the equation of the line is y = (1/3)x - 7/3.

Find the Slope-Intercept Form of the Equation of a Line <13< \frac { 1 } { 3 }<31​

Find the Slope-Intercept Form of the Equation of a Line $< \frac { 1 } { 3 }$