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wolverine [178]
3 years ago
15

A line has a slope of -3/4 and has a y intercept of 3. What is the x intercept of the line

Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer:

The x-intercept is 4

Step-by-step explanation:

We are given;

The slope of a line as -3/4

y-intercept is 3

We are supposed to determine the x-intercept;

We need to know that;

The slope of a line is given by the ratio of the change in y to the change in x

The coordinates of y-intercept are (0, 3)

Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)

But;

slope = Δ in y ÷ Δ in x

Therefore;

\frac{0-3}{a-0}= \frac{-3}{4}

Solving for a

-3a = -12 \\    a =4

Therefore, the x-intercept is 4

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