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

Answer:

(1, 9)

Step-by-step 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 = $\frac{1}{2}$ and (a, b) = (- 7, 5), hence

y - 5 = $\frac{1}{2}$(x + 7)

y - 5 = $\frac{1}{2}$ x + $\frac{7}{2}$

y = $\frac{1}{2}$ x + $\frac{17}{2}$ ← 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 = $\frac{1}{2}$ + $\frac{17}{2}$ = 9

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