From the given options of linear graph and linear equations, the linear function that has the greatest y-intercept is; y = 3x + 4
How to find the y-intercept?
The y-intercept simply means the value of y in a linear equation at which x = 0 or the value of where where the graph crosses the y-axis.
Now, the general form of equation of a line in slope intercept form is given by; y = mx + c
where;
m is slope
c is y-intercept
1) The fist equation is; y = 6x + 1
Thus, comparing it to y = mx + c, we can say that;
Slope = 6 and y-intercept = 1
2) From the graph the line crosses the y-axis at y = 2 and as such we can say that the y-intercept is y = 2
3) From the graph the line crosses the y-axis at y = -3 and as such we can say that the y-intercept is y = -3
4) The fist equation is; y = 3x + 4
Thus, comparing it to y = mx + c, we can say that;
Slope = 3 and y-intercept = 4
Thus, looking at all the values of the y-intercepts, the linear function that has the greatest y-intercept is y = 3x + 4
Read more about y-intercept at; https://brainly.com/question/1884491
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