Question

Write the equation of the graph below. Identify the y-intercept and slopr of the line. Make sure to write the y-intercept as a coordinate pair.

Answer 1

Answer: slope = 3

y - intercept = -2

Equation = y = 3x - 2

According to the graph, the points are (2, 4) and (0, -2)

Points: (2, 4) and (0, -2)

Firstly, we need to find the slope of the graph

Slope = rise / run

rise = y2 - y1

run = x2 - x1

`\begin{gathered} \text{slope = }\frac{y2\text{ - y1}}{x2\text{ - x1}} \\ \text{Where x1 =2, y1 = 4 , x2 = 0 and y2 = -2} \\ \text{Slope = }\frac{-2\text{ -4}}{0\text{ -2}} \\ \text{Slope = }(-6)/(-2) \\ \text{Slope = }(6)/(2) \\ \text{Slope = 3} \\ \end{gathered}`

The standard form of slope intercept form of equation is given as y = mx + b

(y - y1) = m (x - x1)

where m = slope, and b = intercept

y1 = 4 and x1 = 2

(y - 4) = 3(x - 2)

Open the parentheses

y - 4 = 3x - 6

isolate y

y = 3x - 6 + 4

y = 3x - 2