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2 answers:
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<h2>Answer:</h2>
Slope-intercept form:
What the variables mean:
Y=the y axis
m=the slope
x=the x-axis
b=the y intercept (the point on the line that crosses the y-axis)
To Calculate the Slope:
1. Find any 2 points on the line
2. The number of units the second point is above the first is the numerator
3. The number of units the second point is to the right of the first is a denominator
(Please see the picture attached)
To Find the Y-Intercept:
1. Find the point on the line that crosses the y-axis
(Please see the picture attached)
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The slope m = 6
- The point (0, 4)
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
