Question

The line with slope "-2.5" and passing through (2,1.5)

Answer 1

The equation of the line with a slope of -2.5 passing through the point (2, 1.5) is found using the point-slope form and simplified to y = -2.5x + 6.5, representing a straight line with negative slope.

Step-by-step explanation:

The student's question is about finding the equation of a line with slope "-2.5" which passes through the point (2, 1.5). To find the equation of a line, we can use the point-slope form, which is written as:

y - y1 = m(x - x1),

where m is the slope of the line, and (x1, y1) is a point on the line. Inserting the given slope and point values, we get:

y - 1.5 = -2.5(x - 2).

To express this in slope-intercept form, we'll distribute the slope and simplify:

y = -2.5x + 5 + 1.5
y = -2.5x + 6.5.

Thus, the equation of the straight line with negative slope passing through the point (2, 1.5) is y = -2.5x + 6.5.

Answer 2

y = mx + b where m is the slope and b is the y-intercept.

Step-by-step explanation:

1.) the line passes through (-1,3) and (-4,5

2.) The line with slope -2.5 and passing through (2,1.5)