Question

Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form. Passing through ​(minus−44​,minus−88​) and parallel to the line whose equation is y equals negative 3 x plus 3y=−3x+3 Write an equation for the line in​ point-slope form.

Answer 1

Explanation:

The answer is B

y=2x+11

Answer 2

Given

• point (-4, -8)
• line y = -3x +3

Find

The equation of the line through the given point parallel to the given line ...

• in point-slope form
• in slope-intercept form

Solution

The given line's equation is is slope-intercept form. The slope is -3, the coefficient of x.

In point-slope form, the equation of a line with slope m through point (h, k) is ...

... y -k = m(x -h)

For slope m=-3 and point (h, k) = (-4, -8) the equation of the line is ...

... y +8 = -3(x +4) . . . . equation in point-slope form

We can eliminate parentheses and add -8 to put this equation in slope-intercept form.

... y +8 = -3x -12

... y = -3x -20 . . . . equation in slope-intercept form