How do you write an equation in slope- intercept form of the line passing through the given points ? (0,7), (1,9)

Mathematics

1 answer:

Airida [17]3 years ago

5 0

y = 2x + 7

the equation of a line in ' slope-intercept form ' is

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

to calculate m use the ' gradient formula '

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (1, 9)

m = $\frac{9-7}{1-0}$ = 2

given the point (0, 7 ) then c = 7

y = 2x + 7 ← in slope-intercept form

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· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The

tigry1 [53]

Answer:

(See step-by-step)

Step-by-step explanation:

Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.

The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.

The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).