Respuesta :
The slope-intercept form of x - y = 7 is y = x - 7. The slope of that line is 1. That means the slope of the line that also goes through (1, 0) is also 1. If you use the point-slope formula, the answer you will receive is y = x - 1.
The slope-intercept form of the line that passes through the point (1, 0) is y = x - 1.
First, we turn the equation x-y = 7 into an equation in the form y = mx+b, so we can find the slope, which is m. We get, y = x - 7, so the slope of the equation x-y = 7, is 1.
What is the slope-intercept form?
Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Where y=y-coordinate, m=slope, x=x-coordinate and b=y-intercept.
Now, we plug in the point (1, 0) in the equation, that is substitute m=1, y =0 and x=1 in y = mx + b, getting 0 = 1 + b.
So, b=-1
Thus, the equation is y = x - 1.
Therefore, the slope-intercept form of the line that passes through the point (1, 0) is y = x - 1.
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