Question

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (-3,-2) and (3,14) Type the point-slope form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.) Type the slope-intercept form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.)

Answer 1

39-326 39-326 (-3,-2) - slepe (m) = bayr-gt *2-2T 14-(2) á 3-(-3) . 14+2 3+3 2y=(-2) = (2-(-3) (y + 2) = (1+3) slope entiset > Paint it 3) * Slape catrert y +2 = 8 + 8 ty: 3276 - Slape intercept fama Slope intercept form

Answer 2

SOLUTION :

Points (-3, -2) and (3, 14) are on the line, so,

 

Slope of the required line  = (14 - (-2)) / (3 - (-3)) = 16/6 = 8/3

So, the point-slope form equation is :

(y - (- 2)) = 8/3 (x - (- 3)) 

=> y + 2 = 8/3 (x + 3)  (ANSWER)

So, equation of the required line in intercept form is :

Simplifying point - slope equation : y = 8/3 x + 8 - 2 

=> y = 8/3 x + 6  (ANSWER)