Question

For each line described, write an equation in(a)slope-intercept form, if possible, and(b)standard form. through (2,−10)(2, -10), perpendicular to a line with undefined slope.

Accepted Answer

Identify the slope of the given line. Since the line has an undefined slope, it is a vertical line, which means its equation is of the form $$x = k$$ for some constant $$k. $$Determine the slope of the line perpendicular to the given vertical line. The perpendicular line to a vertical line is a horizontal line, which has a slope of 0. Use the point-slope form of a line to write the equation of the line passing through the point $$(2, -10)$$ with slope 0. The point-slope form is $$y - y_1$ = m(x - x_1$)$$, where $$m is $$the slope and $$(x_1$, y_1$) is $$the point. Simplify the equation from the point-slope form to slope-intercept form, which is $$y = mx + b. $$Since the slope is 0, the equation will simplify to $$y = b$$, where $$b is $$the y-coordinate of the point. Rewrite the equation in standard form, which is $$Ax + By = C$$, where $$A$$, $$B$$, and $$C$$ are integers and $$A \geq 0. $$For a horizontal line, this will typically be $$y = C.$$

For each line described, write an equation in
(a)slope-intercept form, if possible, and
(b)standard form.
through $open paren 2 comma negative 10 close paren$ , perpendicular to a line with undefined slope.

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Slope of a Line

Perpendicular Lines

Forms of Linear Equations