y = 2x + 1 is the equation of line in slope intercept form
<em><u>Solution:</u></em>
Given that we have to write the slope intercept form
<em><u>Let us first find the slope of line</u></em>
<em><u>The slope of line is given by formula:</u></em>

Here the given points are (2, 5) and (0, 1)

<em><u>Substituting the values in formula,</u></em>

Thus slope of line is 2
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c --------- eqn 1
Where, "m" is the slope and "c" is the y intercept
<em><u>Substitute m = 2 and (x, y) = (0, 1) in eqn 1</u></em>
1 = 2(0) + c
c = 1
<em><u>Substitute c = 1 and m = 2 in eqn 1</u></em>
y = 2x + 1
Thus the equation of line in slope intercept form is found
Answer:
Slope (m) =
ΔY
ΔX
=
1
2
= 0.5
θ =
arctan( ΔY )
ΔX
= 26.565051177078°
ΔX = 5 – 1 = 4
ΔY = 8 – 6 = 2
Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996
Equation of the line:
y = 0.5x + 5.5
or
y =
1 x
2
+ 11
2
When x=0, y = 5.5
When y=0, x = -11
Answer:
Step-by-step explanation:
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