Question

Show how you found the slope and y-intercept

Answer 1

Answer:

Slope: $\frac{5}{2}$

y-intercept: 0

Step-by-step explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

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

Plug in the corresponding numbers to the corresponding variables:

slope (m) = $\frac{10 - 5}{4 - 2}$ = $\frac{5}{2}$

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

$y = \frac{5}{2} x + b$

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

$5 = \frac{5}{2}(2) + b$

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

$5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0$

Y-intercept: 0