Answer:
#15: y = -5x -4
#16: y = 2/5x -4
Step-by-step explanation:
Lets start with #15:
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx -4
Pick another point and substitute its x and y values in this equation.
I chose (-1,1) and substituted as 1 = m(-1) -4
Isolate m:
1 + 4 = -m - 4 + 4
5 = -m
m = -5
The Equation in Slope Intercept Form is y = -5x -4
Let's do #16.
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx - 4
Pick another point and substitute its x and y values in this equation.
I used Fractional Points as Whole ones were not seen.
I chose (5/2,-3) and substituted as -3 = m(5/2) - 4
Isolate m:
-3 + 4 = 5m/2 - 4 + 4
1= 5m/2
m=2/5
The Equation in Slope Intercept Form is y = 2/5x - 4
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
