F(x) = -3 + 7 = 4
g(x) = -7 + 3 = -4
f(-3) - g(3) = 4 - (-4) = 4 + 4 = 8
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
<h3 /><h3>Equation of a line</h3>
The standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
y = -1/2x + 1
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define variables</u>
Slope <em>m</em> = -1/2
y-intercept <em>b</em> = 1
<u>Step 2: Write linear function</u>
y = -1/2x + 1
Turn percentage into a fraction.
15% = 0.15
Divide.
60 / 0.15 = 400
Hence, 15% of 60 is 400.
Hope This Helped! Good Luck!
Answer:
y=-8x-2
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.
