Question

Which line has an equation of Y = -5×+4 in slope-intercept form?

a) A line passing through the points (1, 9) and (3, 19)

b) A line passing through the points (2, -14) and (4, -24)

c) A line passing through the points (1, 1) and (3, 11)

d) A line passing through the points (2, -6) and (4, -16)

Answer 1

The line passing through the points (1, 9) and (3, 19) has an equation of y = -5x + 4 in slope-intercept form. The correct answer is a.

Step-by-step explanation:

The equation y = -5x + 4 is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To determine which line has the equation y = -5x + 4, we need to find the slope and y-intercept of each given line and check if they match the equation.

For example, let's check option a) A line passing through the points (1, 9) and (3, 19):

First, find the slope:
(19 - 9) / (3 - 1) = 10 / 2 = 5

Then, find the y-intercept using the point-slope form:
9 = 5 * 1 + b
b = 9 - 5 = 4

The slope and y-intercept of this line match the equation y = -5x + 4, so option a) is the correct answer.