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grandymaker [24]
2 years ago
5

Write the equation of a line, in slope intercept form, that has a slope of 1 and passes through the point (2, 4).

Mathematics
2 answers:
nikitadnepr [17]2 years ago
6 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m=1\to y=1x+b=x+b

and point (2, 4). Substitute:

4=2+b      <em>subtract 2 from both sides</em>

2=b\to b=2

Answer: y=x+2

Illusion [34]2 years ago
4 0

Start with the simplest equation of a straight line:  y = mx + b.

Subst. 1 for m, 2 for x and 4 for y.  Then, 4 = 1(2) + b, or b = 2.

In slope-intercept form, the equation of this line is y = x + 2.

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