What is the x-intercept of the line described by the equation? 14x - 8y = 56

Question

asked Sep 6, 2021 208k views

2 Answers

James Reategui · Answer 1 · 2021-09-06T07:34:59+0000

Answer:

Explanation:

The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form

y = mx + b

we are given

$14x - 8y = 56\\so, \\14x - 56 = 8y\\(14x)/(8) - (56)/(8) = (8y)/(8) \\y = (7)/(4)(x) - 7$

now, we can set y to 0 and solve

$(7)/(4)(x) = 7\\7x = 28\\x = 4$

The x-intercept is (4, 0)