Mathematics: What is an equation of the line that passes through the points (0, -3) and (-5, 3)

I would want a thermometer that showed whole degrees or better....

What is an equation of the line that passes through

chloejaylevesque

01.10.2021

$y = - \frac{6}{5} x - 3$

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept.

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

$m = \frac{3 - ( - 3)}{ - 5 - 0}$

$m = \frac{3 + 3}{ - 5}$

$m = - \frac{6}{5}$

Substitute the value of m into the equation:

$y = - \frac{6}{5} x + c$

To find the value of c, substitute a pair of coordinates.

When x= 0, y= -3,

$- 3 = - \frac{6}{5} (0) + c$

c= -3

Thus, the equation of the line is $y = - \frac{6}{5} x - 3$ .

0,0(0 оценок)