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jwbri
06.10.2019 •
Mathematics
Write the equation of the line with x-intercept 3 and y-intercept 2.
a) y = 2 3 x + 2
b) y = 3 2 x + 2
c) y = − 2 3 x + 2
d) y = − 3 2 x + 2
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Ответ:
y=−23x+2
explanation:
by definition the x-intercept of 3 is the point (3, 0) and
by definition the y-intercept of 2 is the point (0, 2).
because we have two points we can use the point-slope formula to determine the equation. in order to use the point-slope formula we must first determine the slope of the line.
the slope can be found by using the formula: m=y2=y1x2−x1
where m is the slope and (x1,y1) and (x2,y2) are the two points.
substituting the two points from the problem gives the slope as:
m=0−23−0
m=−23
now that we have the slope we can use the point-slope formula to determine the equation of the line:
the point-slope formula states: (y−y1)=m(x−x1)
where m is the slope and #(x_1, y_1) is a point the line passes through.
we can substitute the slope we calculated and one of the points to give:
y−0=−23(x−3)
y=−23x+23⋅3
y=−23x+2answer:
step-by-step explanation:
Ответ:
-7/12 in decimal form it would be -0.583
Step-by-step explanation:
convert the mixed number to an improper fraction
(when there's a + in front of an expression in parentheses the expression remains the same)
15/4+(-4 1/3)
convert the mixed number to an improper fraction
15/4-13/3
subtract the fractions to get -7/12