Answer:
1) 5
2) 0
3) Undefined
The Slope
Slope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.
y-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.
Slope-Intercept Form
This form is the most common form for expressing linear equations for graphing and is used when the slope and y-intercept is known.
Form
y = mx + b
Lets break it down. y and x stay as a variable when graphing is it only substituted for a constant when solving for x-intercept, etc.
m is the slope.
b is the y-intercept.
Q)
Q1
y = mx + b
y = 5x
Because 5 is the m value, the slope is 5.
Q2
y = mx + b
y = 3
Think about it. What cancels out any real value? Multiplying it by 0. If there is no coefficient behind the x, it means the slope is 0.
y = 0x + 3 = y = 3
Because 0 is the m value, the slope is 0.
When y is equal to a constant after solving, it is a horizontal line with the y-intercept of the constant it is equal to (in this case 3).
Q3
y = mx + b
x = 5
The slope is undefined.
When x is equal to a constant after solving, it is a straight vertical line with the x-intercept of the constant it is equal to (in this case 5). The slope is always undefined.