Line c has an equation of y = -5x + 3. Parallel to line c is line d, which passes through the point (2,-6). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. ______

Question

Line c has an equation of y = -5x + 3. Parallel to line c is line d, which passes through the point (2,-6). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.   ______

Bytelearn · Accepted Answer

Find Slope of Line c: Determine the slope of line c. Line c has an equation of y = -5x + 3. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Therefore, the slope of line c is -5.Determine Slope of Line d: Since line d is parallel to line c, it must have the same slope. Parallel lines have the same slope. Therefore, the slope of line d is also -5.Find Y-Intercept of Line d: Use the point (2,-6) and the slope -5 to find the y-intercept of line d. We can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the point (2, -6) and the slope -5, we get: -6 - y1 = -5(2 - x1) Since we are looking for the y-intercept (where x=0), we can simplify this to find b (the y-intercept): -6 = -5(2) + b -6 = -10 + b b = -6 + 10 b = 4Write Equation of Line d: Write the equation of line d in slope-intercept form using the slope -5 and the y-intercept 4. The slope-intercept form is y = mx + b. Substituting in the slope -5 and y-intercept 4, we get: y = -5x + 4

Full solution

More problems from Write an equation for a parallel or perpendicular line

Related topics