Answer:
y = [tex]-\frac{1}{2}x+5[/tex]
Step-by-step explanation:
Equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 5) and (4, 3) will be,
m = [tex]\frac{5-3}{0-4}=-\frac{1}{2}[/tex]
Now the equation of the line passing through (0, 5) and slope = [tex]-\frac{1}{2}[/tex] will be,
y - 5 = [tex]-\frac{1}{2}(x - 0)[/tex]
y = [tex]-\frac{1}{2}x+5[/tex]
