Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

y = $\frac{1}{2}$ x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = $\frac{1}{2}$ , hence

y = $\frac{1}{2}$ x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = $\frac{1}{2}$ x + 7 ← equation in slope-intercept form

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