Question

A line that passes through (-7, 5) has a slope of 1/2. Which is another point that the line passes through?

Answer 1

(1, 9)

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m =
`(1)/(2)` and (a, b) = (- 7, 5), hence

y - 5 =
`(1)/(2)`(x + 7)

y - 5 =
`(1)/(2)` x +
`(7)/(2)`

y =
`(1)/(2)` x +
`(17)/(2)` ← equation of line

To find another point on the line choose any value of x and substitute into the equation for the corresponding y- coordinate

x = 1 : y =
`(1)/(2)` +
`(17)/(2)` = 9

Thus (1, 9) is another point that the line passes through