Question

Write an equation (a) in standard form and (b) in slope-intercept form for the line described.

through (8,10), parallel to y = -5
(a) The equation of the line in standard form is
(Type your answer in standard form.)
(b) The equation of the line in slope-intercept form is
(Type your answer in slope-intercept form.)

Answer 1

Answer:the equation of the line in standard form is: y - 10 = 0 and in slope-intercept form is:

y = 10

Explanation:

(a) To find the equation of the line that is parallel to y = -5 and passes through (8, 10), we know that the slope of the new line must be the same as the slope of y = -5, which is 0. This is because parallel lines have the same slope.

The equation of a line with slope 0 passing through the point (8, 10) is simply y = 10. To put this equation in standard form, we can subtract 10 from both sides:

y - 10 = 0

So the equation of the line in standard form is: y - 10 = 0

(b) Since the slope of the line is 0, the equation of the line in slope-intercept form is simply y = b, where b is the y-intercept. We know that the line passes through the point (8, 10), so the y-intercept is 10.

Thus, the equation of the line in slope-intercept form is:

y = 10