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.

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

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

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step-by-step explanation: