Answer:
y = 5x - 2
Step-by-step explanation:
You can write the equation of the line in <u>slope-intercept form</u> (y = mx + b).
"x" and "y", when substituted, represent points on the line.
"m" represents the slope of the line (how steep the line is).
"b" represents the y-intercept (when the graph hits the y-axis).
Since we know a point (3, 13) which is written (x, y) and the slope, we can substitute the following in the equation y=mx+b:
x = 3
y = 13
m = 5
Since we only have one missing piece of information, we can find "b" by isolating it.
y = mx + b Substitute the values
13 = (5)(3) + b Simplify by multiplying
13 = 15 + b Start isolating "b"
13 - 15 = 15 + b - 15 Subtract 15 from both sides
13 - 15 = b Right side: 15 cancelled out because of <u>opposite operations</u>
-2 = b Solved for "b"
b = -2 Standard formatting puts variable on left
When isolating, we use opposite operations to cancel out numbers where we don't want them. Since we want "b" to be alone, we do the opposite of positive 15, which is negative 15 (the same as subtracting 15).
Rewrite the slope-intercept form equation using "m" and "b" variables.
y = mx + b
y = 5x - 2
