Answer:
y=3/5x-3
Step-by-step explanation:
First, put the slope in point-slope form: y-y1=x(x-x1)
y+6=3/5(x+5)
Distribute 3/5 to (x+5) and simplify.
y+6=3/5x+3
y=3/5x-3
If you would like to simplify (3 * x + 5) + (2 * x - 9) - (4 * x + 3), you can do this using the following steps:
(3 * x + 5) + (2 * x - 9) - (4 * x + 3) = 3 * x + 2 * x - 4 * x + 5 - 9 - 3 = 1 * x - 7 = x - 7
The correct result would be x - 7.
What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
