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Mathematics

Grade-8

Easy

Question

What is the slope of the line with an x-intercept of 4 and a y-intercept of –3?

$- \frac{4}{3}$
$- \frac{3}{4}$
$\frac{3}{4}$
$\frac{4}{3}$

hint Hint:

Slope = m = y2-y1 / x2-x1

The correct answer is: $3 over 4$

GIVEN-
x-intercept = 4
y-intercept = -3
TO FIND-
Slope of the line (m)
SOLUTION-
We know that x-intercept of a line is the value of x-coordinate where y = 0.
∴ x-intercept can be written as point (4,0)
Similarly, y-intercept of a line is the value of y-coordinate where x = 0.
∴ y-intercept can be written as point (0,-3)
Hence, we can find the slope of the given line by using the above 2 points on the line, where-
x1 = 4, y1 = 0, x2 = 0 and y2 = -3.
Slope = m = (y2 - y1) / (x2 - x1)
∴ Slope = m = (-3 - 0) / (0 - 4)
∴ Slope = m = -3 / -4
∴ Slope = m = 3/4
FINAL ANSWER-
Option 'c' i.e. '3/4' is the correct answer to the given question.

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