Question

write the equation of the line that passes through the points (-3,1) and (3,5) in point-slope, slope-intercept, and standard form (using only integers). Then graph the line. show all work

Answer 1

See below.

Explanation:

The slope of the line is (5-1) / (3 - -3)

= 4/6 = 2/3

Point slope form:

y - y1 = m(x - x1)

Plugging in m = 2/3 and the point (-3,1):-

y - 1 = 2/3(x + 3) (answer)

Slope-intercept form:-

y - 1 = 2/3(x + 3)

y = 2/3x + 2 + 1

y = 2/3x + 3 (answer)

Standard Form:-

y = 2/3x + 3

Multiply through by 3:-

3y = 2x + 9

-2x + 3y = 9 (answer).