Question

Maria wrote the equation of a line that has a slope of 4/3 and passes through point (3, 5). Which statement is true? A. The y-intercept is 4. B. The slope-intercept equation is y = 4/3x+1. C. The point-slope equation is y -3 = 4/3 (x-5). D. The line also passes through the point (0, –2).

Answer 1

B. The slope-intercept equation is y = 4/3x+1

Explanation:

Answer 2

B. The slope-intercept equation is y = 4/3x+1

Explanation:

When in doubt, plot the point and line and see where the y-intercept is. A point that is 3 units left and 4 units down from (3, 5) is (0, 1), the y-intercept. This eliminates answer choices A and C, and confirms answer choice B.

The equation of choice C is a point-slope equation using the point (5, 3) instead of the one given, (3, 5).

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For a line with slope m through point (h, k), the equation in point-slope form is ...

y -k = m(x -h)

y -5 = (4/3)(x -3)

Adding 5 and eliminating parentheses gives ...

y = 4/3x +1