Answer:
y=-3x-2
Step-by-step explanation:
The slope intercept equation is y=mx+b. y2-y1/x2-x1 is the equation for the slope. 7-(-5)/-3-1 is -3. Now you have y=-3x+b, you plug in one set of cordinates so you would have 7=-3(-3)+b, 7=9+b, b=-2
y=-3x-2
Hope that helps :)
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through the points (1,-5) and (-3,7)
y2 = 7
y1 = - 5
x2 = - 3
x1 = 1
Slope,m = (7 - - 5)/(- 3 - 1) = 12/- 4 =
- 3
To determine the intercept, we would substitute x = - 3, y = 7 and m= - 3,
7 = - 3 × - 3 + c = 9 + c
c = 7 - 9 = - 2
The equation becomes
y = - 3x - 2
