On solving the provided question, we can say that - equation in slope-intercept form of the line that pae through the point (4, 7) and is parallel to the line represented by y = 2x - 5 is [tex]2x -y -1 = 0[/tex]
A number that specifies a line's direction and slope is known as the slope or slope of a line in mathematics. A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x).
The provided equation is -
y = 2x - 5
since these are parallel to each other,
slope, m= 2
now the equation is -
[tex](y-y1) = m(x-x1)\\(y - 7) = 2(x - 4)\\y - 7 = 2x - 8\\2x -y -1 = 0\\[/tex]
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