What is the equation of the line that passes through the point (-4,3) and has a slope of –5/4
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Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute and
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).