Question

Using the image below. Write the equation of the line fully simplified slope-intercept form. NO SPACES BETWEEN TERMS * just letting you know the answer is not y=-5x+2 or y=6x+2

Answer 1

The slope-intercept form is

`y=mx+b`

m is the slope

b is the y-intercept

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is

`m=(y2-y1)/(x2-x1)`

From the given graph, the line passes through points (1, -4) and (0, 2)

Let (x1, y1) = (1, -4) and (x2, y2) = (0, 2)

`\begin{gathered} m=(2-(-4))/(0-1) \\ m=(2+4)/(-1) \\ m=(6)/(-1) \\ m=-6 \end{gathered}`

Substitute the value of m in the form of the equation

`y=-6x+b`

Since the line intersects the y-axis at point (0, 2)

Then the y-intercept is 2

Then b = 2

The equation of the line is

`y=-6x+2`