Answer:
[tex] y = 15x + 20 [/tex]
x = 11, when y = 185
Step-by-step explanation:
Given:
(0, 20);
(2, 50)
Required:
Equation of the line;
Value of x, when y = 185
SOLUTION:
Equation of the line can be written using the slope-intercept formula, given as, [tex] y = mx + b [/tex].
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} =\frac{50 - 20}{2 - 0} = \frac{30}{2} = 15 [/tex]
b = y-intercept = the pointt at which the line cuts the y-axis = 20
Plug in the value into the formula to get the equation:
[tex] y = mx + b [/tex]
[tex] y = 15x + 20 [/tex]
Use this equation to solve for x, when y = 185
[tex] y = 15x + 20 [/tex]
[tex] 185 = 15x + 20 [/tex] (substitution)
[tex] 185 - 20 = 15x + 20 - 20 [/tex]
[tex] 165 = 15x [/tex]
[tex] \frac{165}{15} = \frac{15x}{15} [/tex]
[tex] 11 = x [/tex]
x = 11, when y = 185
