Question

write the equation of the line that passes through the given points expressed in slope-intercept form. m=2/3, (-4,5)

Answer 1

`y = (2)/(3)x + (23)/(3)`

Explanation:

To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

`y - y_1 = m(x-x_1)\\y - 5 = (2)/(3)(x --4)\\y - 5 = (2)/(3)(x+4)`

Convert to slope intercept form by using the distributive property.

`y - 5 = (2)/(3)(x+4)\\y - 5 = (2)/(3)x +(8)/(3)\\y = (2)/(3)x + (8)/(3) + 5\\y = (2)/(3)x + (23)/(3)`