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baherus [9]
3 years ago
14

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th

e x-axis?
Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

(\frac{3}{5} b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - \frac{5}{3} and b = b , thus

y= - \frac{5}{3} x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- \frac{5}{3} x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = \frac{3}{5} b , thus

x- intercept = ( \frac{3}{5} b, 0 )

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