Answer:
Slope-intercept form:
The equation of line is given by:
[tex]y=mx+b[/tex] ....[1]
where,
m is the slope and b is the y-intercept
Given the linear equation:
[tex]2x-5y=10[/tex] .....[2]
Subtract 2x from both sides we have;
[tex]-5y = -2x+10[/tex]
Divide by -5 to both sides we have;
[tex]y = \frac{2}{5}x-2[/tex]
On comparing with [1] we have;
Slope(m) = [tex]\frac{2}{5}[/tex]
y-intercept(b) = -2
To find x-intercept:
Substitute y = 0 in [2] and solve for x:
[tex]2x-5(0)=10[/tex]
⇒2x = 10
Divide both sides by 2 we have;
x = 5
x-intercept = 5
Therefore:
The x-intercept is 5
The y-intercept is -2
The slope is [tex]\frac{2}{5}[/tex]
