Answer:
y = 6x + 1
Step-by-step explanation:
linear equations (straight line) are expressed in the following general form:
y = mx + b, where m is the gradient and b is the y-ordinate of the point where the line crosses the y-axis (called the y-intercept)
Given : m = 6
we realize that point (0,1) is actually on the y-axis (i.e x=0), therefore this is coincidentally the y-intercept. Hence b = 1
Therefore the whole equation is
y = 6x + 1
The equation for a line is:
y = mx + c
Note:
y is the y coordinate
m is the slope
x is the x coordinate
c is the y -intercept (where the line crosses the y-axis.
The question tells us that the slope is 6 (so m is 6)
It also tells that the coordinates are: (0 , 1) (so x is 0 and y is 1)
Lets plug in these values into the equation and solve to get the missing value ( which is c) :
y = mx + c
1 = 6(0) + c
1 = c.
Now to get the equation of the line, we plug in the values for m and c into y= mx + c:
Equation of line: y = 6x + 1
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Answer:
Equation of line with slop m = 6 and including point (0, 1) is:
y = 6x + 1
