Question

Find the missing coordinate using the given slope then write the equation of the line in slope intercept form (a,2) and (5,-6) slope 8

Answer 1

Answer:To find the missing coordinate, we can use the slope formula:

slope = (change in y) / (change in x)

Given that the slope is 8 and one point is (a, 2), we can substitute the coordinates (a, 2) and (5, -6) into the slope formula:

8 = (-6 - 2) / (5 - a)

Simplifying the equation:

8 = -8 / (5 - a)

Cross-multiplying:

8(5 - a) = -8

40 - 8a = -8

Solving for a:

-8a = -48

a = 6

So, the missing coordinate is 6.

Now, let's write the equation of the line in slope-intercept form. We have the slope (8) and a point (6, 2). Using the point-slope form:

y - y1 = m(x - x1)

Substituting the values:

y - 2 = 8(x - 6)

Expanding and simplifying:

y - 2 = 8x - 48

y = 8x - 46

Therefore, the equation of the line in slope-intercept form is y = 8x - 46.

Explanation:

Answer 2

To find the missing coordinate, we can use the slope formula:

slope = (change in y) / (change in x)

Given that the slope is 8 and one point is (a, 2), we can substitute the coordinates (a, 2) and (5, -6) into the slope formula:

8 = (-6 - 2) / (5 - a)

Simplifying the equation:

8 = -8 / (5 - a)

Cross-multiplying:

8(5 - a) = -8

40 - 8a = -8

Solving for a:

-8a = -48

a = 6

So, the missing coordinate is 6.

Now, let's write the equation of the line in slope-intercept form. We have the slope (8) and a point (6, 2). Using the point-slope form:

y - y1 = m(x - x1)

Substituting the values:

y - 2 = 8(x - 6)

Expanding and simplifying:

y - 2 = 8x - 48

y = 8x - 46

Therefore, the equation of the line in slope-intercept form is y = 8x - 46.