Answer:
a) the slope is 3.
Step-by-step explanation:
The equation [tex]y=-3x+5[/tex] is written in slope-intercept form, [tex]y=mx+b[/tex] , where m is the slope and b is the y-intercept:
[tex]slope=-3\\y-intercept=5[/tex]
Using this information, we can see that option a is not true. The slope is '-3' , not '3'. The other options are true because:
b.) the y-intercept is 5
[tex]b=5[/tex]
c.) for a rise of 3, the run is -1
in a term, c would be [tex]\frac{3}{-1}[/tex] which, when simplified, is equal to -3. The rise and run refers to the slope as well: [tex]\frac{rise}{run}[/tex]
d.) the graph crosses the y-axis at (0,5).
When is says "crosses the y-axis", it refers to the y-intercept. The y-intercept is where a point sits on the y-axis when x is equal to zero. In (0,5), since x is 0 and y is 5, the statement is true.
