Question

Thu Nov 9

Newman's practice
L.6 Slope-intercept form: write an equation
81
asses through the points (-12, 14) and (15, 5). Write its equation in slope-int
our answer using integers, proper fractions, and improper fractions in simples

Answer 1

To write the equation of a line in slope-intercept form, find the slope and y-intercept. Using the given points (-12, 14) and (15, 5), the equation is y = -1/9x + 20/3.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, we need the slope (m) and the y-intercept (b). The slope can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the given points (-12, 14) and (15, 5), we have a slope of m = (5 - 14) / (15 - (-12)) = -1/9.

To find the y-intercept, we can substitute one of the points into the slope-intercept form, y = mx + b. Let's use the point (15, 5): 5 = (-1/9)(15) + b. Solving for b, we get b = 20/3.

Therefore, the equation of the line in slope-intercept form is: y = -1/9x + 20/3.

Learn more about Writing the equation of a line in slope-intercept form