Question

Write an equation of the line shown. Then use the equation to find the value of x when y = 150​

Answer 1

Answer:

$y = 10x + 30$

x = 12

Step-by-step explanation:

The slope-intercept form formula, $y = mx + b$, can be used to write an equation for the line.

Where,

m = slope = $\frac{y_2 - y_1}{x_2 - x_1}$

b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.

Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let,

$(0, 30) = (x_1, y_1)$

$(3, 60) = (x_2, y_2)$

$m = \frac{60 - 30}{3 - 0}$

$m = \frac{30}{3}$

$m = 10$

y-intercept of the line, b = 30

Equation for the line would be:

$y = 10x + 30$

Using the equation, find x when y = 150.

Simply substitute the value for y in the equation to find x.

$150 = 10x + 30$

Subtract 30 from both sides

$150 - 30 = 10x + 30 - 30$

$120 = 10x$

Divide both sides by 10

$\frac{120}{10} = \frac{10x}{10}$

$12 = x$

x = 12