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)
