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WITCHER [35]
3 years ago
7

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

Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

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

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