Respuesta :
Answer:
y = 2x - 6
Step-by-step explanation:
The slope-intercept equation is y = mx + b
where m is the slope and b is the point on the y axis when x=0 which is called the y intercept.
The slope is the rise over run.
Rise is the difference in the y values.
Run is the difference in the x values.
Rise = difference between -6 and -10 which is 4 units
Run = difference between 0 and -2 which is 2 units.
The slope would then be 4 over 2 or 4/2 which can be reduced down to 2.
If you visualize the line on the graph, the line slopes upward from left to right. So the slope must be a positive number.
Slope = 2
The y intercept is when x=0. One of the coordinates (0, -6) gives you that answer. When x=0, y = - 6. This is b.
Your equation would be y = 2x - 6
Answer:
y = 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6 ) and (x₂, y₂ ) = (- 2, - 10 )
m = [tex]\frac{-10-(-6)}{-2-0}[/tex] = [tex]\frac{-10+6}{-2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = 2x - 6 ← equation of line
