Find an equation for the line, in the indicated form, with the given properties.
-Containing the points (-4, -1) and (1, 2); slope-intercept form
A) $y = m x + \frac { 7 } { 5 }$
B) $y = - \frac { 3 } { 5 } x + \frac { 7 } { 5 }$
C) $y = \frac { 3 } { 5 } x + \frac { 7 } { 5 }$
D) $y + 1 = \frac { 3 } { 5 } ( x + 4 )$

Question

Quizplus · Accepted Answer

First, calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{2 - (-1)}{1 - (-4)} = \frac{3}{5}$. Then, use one of the points and the slope to find the y-intercept (b) using the formula $y = mx + b$. Substituting $x = -4$, $y = -1$, and $m = \frac{3}{5}$ gives $-1 = \frac{3}{5}(-4) + b$, solving for b gives $b = \frac{7}{5}$. Therefore, the equation is $y = \frac{3}{5}x + \frac{7}{5}$.

Find an Equation for the Line, in the Indicated Form y=mx+75y = m x + \frac { 7 } { 5 }y=mx+57​

Find an Equation for the Line, in the Indicated Form $y = m x + \frac { 7 } { 5 }$