contestada

Find the equationFind the equation (in terms of
x
) of the line through the points (-4,-5) and (3,5) (in terms of x ) of the line through the points (-4,-5) and (3,5)

Respuesta :

Lanuel

Answer:

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-4, 3)

Points on the y-axis (y1, y2) = (-5, 5)

To find the equation of line in terms of x;

First of all, we would determine the slope of the line;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {5 - (-5)}{3 - (-4)} [/tex]

[tex] Slope, m = \frac {10}{7} [/tex]

Slope, m = 10/7

Next, we find the equation;

y - y1 = m(x - x1)

y - (-5) = 10/7(x -(-4))

y + 5 = 10/7(x +4)

Otras preguntas