Answer :
Final answer:
The equation of the line with an x-coordinate of -1.57 and a slope of 4 is y = 4x + 4*1.57.
Explanation:
The question is asking for the equation of a line and we are given a point through which the line passes, (-1.57, y), and the slope of the line, which is 4.
To write the equation of a line, we generally use the slope-intercept form that is 'y=mx+b', where 'm' represents the slope and 'b' is the y-intercept.
However, when we are given a point other than the y-intercept, we use point-slope form instead.
We use the point-slope form (y-y1)=m(x-x1) of linear equation, where (x1, y1) are the coordinates of a given point and m is the slope. Substituting the given point and slope, we get y-y1=4(x-(-1.57)).
Rearranging, we get y=4x+4*1.57.
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