Question

What is the x-intercept, y-intercept, Rewrite the equation in its slope-intercept form, and what is the slope for: i(-2,-3), ii (6,3), iii(1,-3/4) , iv(-6,-6)

Answer 1

x-intercept is a point on the graph when y is zero
y-intercepts is a point on the graph when x is zero
for example: find the x-intercepts and y-intercepts from this equation :

Answer 2

for example :
\[25x ^{2}+4y ^{2}=9\]
x-intercepts : y=0
\[25x ^{2}+4(0)^{2}=9\]
\[x ^{2}=9/25\]
\[x=\pm 3/5\]
so x-intercepts at the point (3/5,0) and (-3.5,0)

Answer 3

y-intercepts : x=0
\[25(0)^{2}+4y ^{2}=9\]
\[y ^{2}=9/4\]
\[y=\pm 3/2\]
so Y-intercepts at point (0,3/2) and (0,-3/2)

Answer 4

slope for i (-2,-3) and ii (6,3)
\[(y-y1)/(y2-y1)=(x-x1)/(x2-x1)\]
\[y=1/2x-6\]
standard formula : \[y=mx+b\]
so the slope is m=1/2