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:

$4=2+b$ subtract 2 from both sides

$2=b\to b=2$

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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zaharov [31]

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